User Manual
Page 6
Chapter 10: Matrices Getting Started: Systems of Linear Equations .......... 10-2 Defining a Matrix 10-4 Viewing Matrix Elements 10-5 Editing Matrix Elements 10-6 About Matrices 10-8 Matrix Math Functions 10-10 MATRIX MATH Operations 10-12 Chapter 11: Lists Getting Started: Generating Sequences 11-2 About Lists 11-3 LIST OPS Operations 11-6 LIST MATH Operations 11-9 Chapter 12: ...
Chapter 10: Matrices Getting Started: Systems of Linear Equations .......... 10-2 Defining a Matrix 10-4 Viewing Matrix Elements 10-5 Editing Matrix Elements 10-6 About Matrices 10-8 Matrix Math Functions 10-10 MATRIX MATH Operations 10-12 Chapter 11: Lists Getting Started: Generating Sequences 11-2 About Lists 11-3 LIST OPS Operations 11-6 LIST MATH Operations 11-9 Chapter 12: ...
User Manual
Page 10
... instruction, which a value, an expression, a list, a matrix, or another graph. A picture is 96 pixels wide and 64 pixels high. A matrix is a two-dimensional array on another named item is composed of the elements that can be used in graphing and TABLE. The TI.82 display is a saved image of a graph display, excluding cursor coordinates, axis labels, tick...
... instruction, which a value, an expression, a list, a matrix, or another graph. A picture is 96 pixels wide and 64 pixels high. A matrix is a two-dimensional array on another named item is composed of the elements that can be used in graphing and TABLE. The TI.82 display is a saved image of a graph display, excluding cursor coordinates, axis labels, tick...
User Manual
Page 24
...save up to five matrices and perform standard matrix operations on them. (Chapter 10) Lists You can define and save up to six lists for use DRAW operations to annotate graphs (Chapter 8). Sequences You can generate sequences and graph them over time or as the Y= screen..., table, list editor, or Home screen. (Chapter 9) 14 Getting Started Other Features Getting Started introduced you to basic calculator operation and the table and function graphing features of the TI.82....
...save up to five matrices and perform standard matrix operations on them. (Chapter 10) Lists You can define and save up to six lists for use DRAW operations to annotate graphs (Chapter 8). Sequences You can generate sequences and graph them over time or as the Y= screen..., table, list editor, or Home screen. (Chapter 9) 14 Getting Started Other Features Getting Started introduced you to basic calculator operation and the table and function graphing features of the TI.82....
User Manual
Page 28
... view all lines of the display are shown at the left and right. If all of the display. On numeric editors such as a list or matrix, is too long to display in Chapter 3. Use ~ and | to eight lines of the next line. When an entry is executed on the Home ...next line. Home Screen The Home screen is displayed on the Home screen, the Y= editor (Chapter 3), or the program editor (Chapter 13) is displayed, the TI.82 screen can display a split screen, showing graphics and text simultaneously (Chapter 9). If an answer, such as the WINDOW screen (Chapter 3), an expression scrolls to 16...
... view all lines of the display are shown at the left and right. If all of the display. On numeric editors such as a list or matrix, is too long to display in Chapter 3. Use ~ and | to eight lines of the next line. When an entry is executed on the Home ...next line. Home Screen The Home screen is displayed on the Home screen, the Y= editor (Chapter 3), or the program editor (Chapter 13) is displayed, the TI.82 screen can display a split screen, showing graphics and text simultaneously (Chapter 9). If an answer, such as the WINDOW screen (Chapter 3), an expression scrolls to 16...
User Manual
Page 36
... 12), and functions (Chapter 3) from the program editor (Chapter 13). Graph databases and pictures are entered and edited from editors. Variable Names On the TI.82 you can store to a matrix element (Chapter 10) or a list element (Chapter 11). Programs are ...3, 4, 5, and 6) from the Home screen or from the DRAW menu (Chapter 8). 1-12 Operating the TI.82 Variable type Real numbers Matrices Lists Functions Parametric equations Polar functions Sequence functions Stat plots Graph databases Graph pictures System variables Names A, B, . . . , Z, q ãAä, ãBä, ãC...
... 12), and functions (Chapter 3) from the program editor (Chapter 13). Graph databases and pictures are entered and edited from editors. Variable Names On the TI.82 you can store to a matrix element (Chapter 10) or a list element (Chapter 11). Programs are ...3, 4, 5, and 6) from the Home screen or from the DRAW menu (Chapter 8). 1-12 Operating the TI.82 Variable type Real numbers Matrices Lists Functions Parametric equations Polar functions Sequence functions Stat plots Graph databases Graph pictures System variables Names A, B, . . . , Z, q ãAä, ãBä, ãC...
User Manual
Page 37
Storing Values in memory. Press Í. Note: When an error (such as a variable with no assigned value) occurs on a blank line. 1. Operating the TI.82 1-13 Press ƒ, then the letter of the variable at that you entered an expression, it is stored in the program editor only). The value ... ƒ and then the letter of the variable. ¦ Press y and the name of the list. ¦ Press and select the name of the matrix. ¦ Press y ãY.VARSä and select the type and name of the function. ¦ Press and select the name of a variable, enter the...
Storing Values in memory. Press Í. Note: When an error (such as a variable with no assigned value) occurs on a blank line. 1. Operating the TI.82 1-13 Press ƒ, then the letter of the variable at that you entered an expression, it is stored in the program editor only). The value ... ƒ and then the letter of the variable. ¦ Press y and the name of the list. ¦ Press and select the name of the matrix. ¦ Press y ãY.VARSä and select the type and name of the function. ¦ Press and select the name of a variable, enter the...
User Manual
Page 40
...Í 1-16 Operating the TI.82 When the expression is retained in the next expression without entering the value again or pressing y ãANSä. Then calculate the yield per square meter if... you turn the TI.82 off, the value in Ans is evaluated, the TI.82 uses the value of Ans in the calculation. Calculate the area of... Calculate the area of a circle of radius 5 meters and height 3.3 meters and store in most places. Then calculate the volume ... or from a program, the TI.82 stores the answer to a variable, Ans (Last Answer). The TI.82 "types" the variable name Ans...
...Í 1-16 Operating the TI.82 When the expression is retained in the next expression without entering the value again or pressing y ãANSä. Then calculate the yield per square meter if... you turn the TI.82 off, the value in Ans is evaluated, the TI.82 uses the value of Ans in the calculation. Calculate the area of... Calculate the area of a circle of radius 5 meters and height 3.3 meters and store in most places. Then calculate the volume ... or from a program, the TI.82 stores the answer to a variable, Ans (Last Answer). The TI.82 "types" the variable name Ans...
User Manual
Page 44
... are evaluated as they are evaluated first. EOS lets you enter numbers and functions in expressions are entered and evaluated on the TI.82. Calculations within a pair of Evaluation A function returns a value. EOS™ (Equation Operating System) The Equation Operating System (EOS.... 2 Powers and roots, such as 2^5 or 5x‡32. 3 Implied multiplication where the second argument is a number, variable name, list, or matrix or begins with an open parenthesis, such as 4A, 3ãBä, (A+B)4, or 4(A+B). 4 Single-argument functions that precedes the argument, such as 2nDeriv(A2...
... are evaluated as they are evaluated first. EOS lets you enter numbers and functions in expressions are entered and evaluated on the TI.82. Calculations within a pair of Evaluation A function returns a value. EOS™ (Equation Operating System) The Equation Operating System (EOS.... 2 Powers and roots, such as 2^5 or 5x‡32. 3 Implied multiplication where the second argument is a number, variable name, list, or matrix or begins with an open parenthesis, such as 4A, 3ãBä, (A+B)4, or 4(A+B). 4 Single-argument functions that precedes the argument, such as 2nDeriv(A2...
User Manual
Page 45
... is in the fourth group in the list (Chapter 11) or matrix (Chapter 10). On the TI.82, negation is used to square a negative number: (M9)2. Implied Multiplication The TI.82 recognizes implied multiplication. For example, it does not indicate implied multiplication. Parentheses All calculations inside the parentheses, 1+2, and then multiplies the answer, 3, by an open...
... is in the fourth group in the list (Chapter 11) or matrix (Chapter 10). On the TI.82, negation is used to square a negative number: (M9)2. Implied Multiplication The TI.82 recognizes implied multiplication. For example, it does not indicate implied multiplication. Parentheses All calculations inside the parentheses, 1+2, and then multiplies the answer, 3, by an open...
User Manual
Page 50
... from the subtraction or minus ¹ (N). e^1 returns the value of a number, expression, list, or matrix (Chapter 10). Mvalue EOS rules (Chapter 1) determine when negation is stored as a constant in calculations. 2-4 Math, Angle, and Test Operations abs value p (Pi) Pi is evaluated. Press y ãpä...returns the absolute value of a number, expression, list, or matrix (Chapter 10). log, 10^, ln log (logarithm «), 10^ (power of ten y ã10xä), and ln (natural log y ãlnä) may be used internally in the TI.82. log value, 10^power, ln value e^ e^ (exponential ...
... from the subtraction or minus ¹ (N). e^1 returns the value of a number, expression, list, or matrix (Chapter 10). Mvalue EOS rules (Chapter 1) determine when negation is stored as a constant in calculations. 2-4 Math, Angle, and Test Operations abs value p (Pi) Pi is evaluated. Press y ãpä...returns the absolute value of a number, expression, list, or matrix (Chapter 10). log, 10^, ln log (logarithm «), 10^ (power of ten y ã10xä), and ln (natural log y ãlnä) may be used internally in the TI.82. log value, 10^power, ln value e^ e^ (exponential ...
User Manual
Page 51
... the menu, the name is valid only at the end of an expression. If it cannot be a number, expression, list, or matrix. Functions that are valid for lists return a list calculated on an element-by-element basis. The answer may be simplified or the denominator is more than three digits, the decimal...
... the menu, the name is valid only at the end of an expression. If it cannot be a number, expression, list, or matrix. Functions that are valid for lists return a list calculated on an element-by-element basis. The answer may be simplified or the denominator is more than three digits, the decimal...
User Manual
Page 52
... MATH item 6) and fMax( (function maximum, MATH MATH item 7) return the value at which the minimum or maximum value of a number, expression, list, or square matrix (Chapter 10). if not specified, 1E.5 is controlled by tolerance (optional; fMin(expression,variable,lower,upper) or fMin(expression,variable,lower,upper,tolerance) 2-6 Math, Angle...
... MATH item 6) and fMax( (function maximum, MATH MATH item 7) return the value at which the minimum or maximum value of a number, expression, list, or square matrix (Chapter 10). if not specified, 1E.5 is controlled by tolerance (optional; fMin(expression,variable,lower,upper) or fMin(expression,variable,lower,upper,tolerance) 2-6 Math, Angle...
User Manual
Page 55
...2-9 Functions that are valid for lists return a list calculated on an element-by-element basis. round(value,#decimals) round(value) iPart iPart (integer part) returns the integer part or parts of a number, expression, list, or matrix (Chapter 10). iPart value fPart fPart (fractional part)...3: fPart Fractional part 4: int Greatest integer 5: min( Minimum value 6: max( Maximum value round( round( returns a number, expression, list, or matrix rounded to 10 digits. If #decimals is omitted, value is copied to the cursor location. MATH NUM (Number) Operations To display the MATH NUM...
...2-9 Functions that are valid for lists return a list calculated on an element-by-element basis. round(value,#decimals) round(value) iPart iPart (integer part) returns the integer part or parts of a number, expression, list, or matrix (Chapter 10). iPart value fPart fPart (fractional part)...3: fPart Fractional part 4: int Greatest integer 5: min( Minimum value 6: max( Maximum value round( round( returns a number, expression, list, or matrix rounded to 10 digits. If #decimals is omitted, value is copied to the cursor location. MATH NUM (Number) Operations To display the MATH NUM...
User Manual
Page 56
...) returns the largest integer less than iPart for nonnegative numbers and negative integers, but one integer less than or equal to a number, expression, list, or matrix. int value min(, max( min( (minimum value) returns the smaller of elements.
...) returns the largest integer less than iPart for nonnegative numbers and negative integers, but one integer less than or equal to a number, expression, list, or matrix. int value min(, max( min( (minimum value) returns the smaller of elements.
User Manual
Page 129
... The top half displays the graph screen (any MODE). The cursor is pressed that key. Setting Screen MODE To change it remains in the upper half of the display for : ¦ Full-screen menus ¦ MODE screen, WINDOW FORMAT screen ¦ Matrix editor ¦ TABLE SETUP,...lines) ¦ Y= editor (4 lines) ¦ Table (2 rows) ¦ STAT list editor (2 rows) ¦ WINDOW (3 settings, can be replaced temporarily by GRAPH, TRACE, a ZOOM operation, or a CALC operation. Exceptions The split screen will be replaced temporarily by a full-screen display for that moves to the correct half...
... The top half displays the graph screen (any MODE). The cursor is pressed that key. Setting Screen MODE To change it remains in the upper half of the display for : ¦ Full-screen menus ¦ MODE screen, WINDOW FORMAT screen ¦ Matrix editor ¦ TABLE SETUP,...lines) ¦ Y= editor (4 lines) ¦ Table (2 rows) ¦ STAT list editor (2 rows) ¦ WINDOW (3 settings, can be replaced temporarily by GRAPH, TRACE, a ZOOM operation, or a CALC operation. Exceptions The split screen will be replaced temporarily by a full-screen display for that moves to the correct half...
User Manual
Page 131
Chapter 10: Matrices This chapter describes the matrix features of Linear Equations ........ 10-2 Defining a Matrix 10-4 Viewing Matrix Elements 10-5 Editing Matrix Elements 10-6 About Matrices 10-8 Matrix Math Functions 10-10 MATRIX MATH Operations 10-12 Matrices 10-1 Chapter Contents Getting Started: Systems of the TI.82. The TI.82 can store up to five matrices. A matrix, depending on available memory, may have up to 99 rows or columns.
Chapter 10: Matrices This chapter describes the matrix features of Linear Equations ........ 10-2 Defining a Matrix 10-4 Viewing Matrix Elements 10-5 Editing Matrix Elements 10-6 About Matrices 10-8 Matrix Math Functions 10-10 MATRIX MATH Operations 10-12 Matrices 10-1 Chapter Contents Getting Started: Systems of the TI.82. The TI.82 can store up to five matrices. A matrix, depending on available memory, may have up to 99 rows or columns.
User Manual
Page 132
On the TI.82, you can solve a system of the first row. 4. Press 2 Í 3 Í 3 Í to obtain the reduced row echelon form. 1. Press ~ ~ to enter the bottom row. ... the solution of Linear Equations Getting Started is a fast-paced introduction. Press 1 to select ãAä to enter the first element. Press 1 Í to edit matrix ãAä. 2. Getting Started: Systems of x + 2y + 3z = 3 and 2x + 3y + 4z = 3. The rectangular cursor moves to define a 2×...
On the TI.82, you can solve a system of the first row. 4. Press 2 Í 3 Í 3 Í to obtain the reduced row echelon form. 1. Press ~ ~ to enter the bottom row. ... the solution of Linear Equations Getting Started is a fast-paced introduction. Press 1 to select ãAä to enter the first element. Press 1 Í to edit matrix ãAä. 2. Getting Started: Systems of x + 2y + 3z = 3 and 2x + 3y + 4z = 3. The rectangular cursor moves to define a 2×...
User Manual
Page 133
...row 2. Select ...row( (item 0) and then press Ì 1 ¢ y ãAnsä ¢ 2 ¤ Í. echelon form of the matrix in Ans by L1. This multiplies row 2 of the matrix is displayed and stored in Ans. 1x N 1z = L3 so x = -3 + z 1y + 2z = 3 y = 3 N 2z Matrices 10-3 This ... row 1. Select ...row+( (item A). The resulting reduced row- Press 1 (to display the MATRX MATH menu. The resulting matrix is not changed. 8. The value of the matrix in Ans. Begin on the menu are shown, then select ...row+( (item A). ...row+( is copied to the Home screen. Press...
...row 2. Select ...row( (item 0) and then press Ì 1 ¢ y ãAnsä ¢ 2 ¤ Í. echelon form of the matrix in Ans by L1. This multiplies row 2 of the matrix is displayed and stored in Ans. 1x N 1z = L3 so x = -3 + z 1y + 2z = 3 y = 3 N 2z Matrices 10-3 This ... row 1. Select ...row+( (item A). The resulting reduced row- Press 1 (to display the MATRX MATH menu. The resulting matrix is not changed. 8. The value of the matrix in Ans. Begin on the menu are shown, then select ...row+( (item A). ...row+( is copied to the Home screen. Press...
User Manual
Page 134
...;, ãDä, or ãEä). The cursor moves to the number of rows (up to 99), and then press Í. The TI.82 has five matrix variables: ãAä, ãBä, ãCä, ãDä, or ãEä. When you want to define, the cursor is.... 2. Press ~ ~ to the first matrix element. 10-4 Matrices Accepting or Changing Matrix Dimensions The dimensions of the matrix. 1. The MATRX EDIT screen appears. A "new" matrix has dimension 1×1. 1. You can define a matrix directly in the matrix editor. Accept or change the dimensions each time you ...
...;, ãDä, or ãEä). The cursor moves to the number of rows (up to 99), and then press Í. The TI.82 has five matrix variables: ãAä, ãBä, ãCä, ãDä, or ãEä. When you want to define, the cursor is.... 2. Press ~ ~ to the first matrix element. 10-4 Matrices Accepting or Changing Matrix Dimensions The dimensions of the matrix. 1. The MATRX EDIT screen appears. A "new" matrix has dimension 1×1. 1. You can define a matrix directly in the matrix editor. Accept or change the dimensions each time you ...
User Manual
Page 135
...ãQUITä to return to seven rows and three columns of a matrix, showing the values of the matrix are set, the matrix can be viewed and values can be entered into the matrix elements. An 8×4 matrix is shown on the bottom line. Leaving the MATRX Edit Screen To leave... by the rectangular cursor) is shown. Deleting a Matrix Matrices are zero. The ellipses marks and $ in abbreviated form if necessary. In a "new" matrix, all values are deleted from memory through the MEM menu (Chapter 15). Viewing Matrix Elements After the dimensions of the elements in the right...
...ãQUITä to return to seven rows and three columns of a matrix, showing the values of the matrix are set, the matrix can be viewed and values can be entered into the matrix elements. An 8×4 matrix is shown on the bottom line. Leaving the MATRX Edit Screen To leave... by the rectangular cursor) is shown. Deleting a Matrix Matrices are zero. The ellipses marks and $ in abbreviated form if necessary. In a "new" matrix, all values are deleted from memory through the MEM menu (Chapter 15). Viewing Matrix Elements After the dimensions of the elements in the right...