User Manual
Page 9
...Using the List Editor to Attach a Formula 163 Using the List Editor With Attached-Formula Lists 164 TI-86 Table of Contents ix Executing and Displaying Attached Formulas 164 Handling Errors Related to Attached Formulas 165 Detaching... Name 166 Editing an Element of a Attached Formula List 166 Chapter 12: Vectors 167 Vectors on the TI-86 168 Creating, Storing, and Displaying Vectors 169 The VECTR (Vector) Menu 169 The VECTR NAMES Menu 169...175 Using Mathematical Functions with Vectors 176 Chapter 13: Matrices 177 Matrices on the TI-86 178 Creating, Storing, and Displaying...
...Using the List Editor to Attach a Formula 163 Using the List Editor With Attached-Formula Lists 164 TI-86 Table of Contents ix Executing and Displaying Attached Formulas 164 Handling Errors Related to Attached Formulas 165 Detaching... Name 166 Editing an Element of a Attached Formula List 166 Chapter 12: Vectors 167 Vectors on the TI-86 168 Creating, Storing, and Displaying Vectors 169 The VECTR (Vector) Menu 169 The VECTR NAMES Menu 169...175 Using Mathematical Functions with Vectors 176 Chapter 13: Matrices 177 Matrices on the TI-86 178 Creating, Storing, and Displaying...
User Manual
Page 10
... MATRX CPLX (Complex ) Menu 185 Using Mathematical Functions with Matrices 185 Chapter 14: Statistics 187 Statistical Analysis on the TI-86 188 Setting Up a Statistical Analysis 188 The STAT (Statistics) Menu 188 Entering Statistical Data 189 The LIST NAMES Menu 189 The STAT CALC (Calculations) Menu 189 Automatic Regression Equation Storage 191 Results of...
... MATRX CPLX (Complex ) Menu 185 Using Mathematical Functions with Matrices 185 Chapter 14: Statistics 187 Statistical Analysis on the TI-86 188 Setting Up a Statistical Analysis 188 The STAT (Statistics) Menu 188 Entering Statistical Data 189 The LIST NAMES Menu 189 The STAT CALC (Calculations) Menu 189 Automatic Regression Equation Storage 191 Results of...
User Manual
Page 12
...TI-86 Table of Contents The LINK SND85 (Send Data to TI-85) Menu 239 Preparing the Receiving Device 240 Transmitting Data 240 Receiving Transmitted Data 241 Repeating Transmission to Several Devices 242 Error Conditions 242 Insufficient Memory in Receiving Unit 242 Chapter 19: Applications 243 Using Math Operations with Matrices...to Z Function and Instruction Reference 261 Quick-Find Locator 262 Alphabetical Listing of Operations 266 Appendix 379 TI-86 Menu Map 380 Handling a Difficulty 392 Error Conditions 393 Equation Operating System (EOS 397 Implied Multiplication 397...
...TI-86 Table of Contents The LINK SND85 (Send Data to TI-85) Menu 239 Preparing the Receiving Device 240 Transmitting Data 240 Receiving Transmitted Data 241 Repeating Transmission to Several Devices 242 Error Conditions 242 Insufficient Memory in Receiving Unit 242 Chapter 19: Applications 243 Using Math Operations with Matrices...to Z Function and Instruction Reference 261 Quick-Find Locator 262 Alphabetical Listing of Operations 266 Appendix 379 TI-86 Menu Map 380 Handling a Difficulty 392 Error Conditions 393 Equation Operating System (EOS 397 Implied Multiplication 397...
User Manual
Page 46
... Eng (engineering) Displays results in the example). ᕢ Move the cursor to the setting you enter numbers. Mode settings control how the TI-86 displays and interprets numbers and graphs. This example changes the decimal mode setting to 2, as in U.S. m. Viewing and Changing Modes To display... the mode settings, press - 34 Chapter 1: Operating the TI-86 In the screen to the right, the default mode settings are highlighted. All numbers, including elements of matrices and lists, are displayed to the left of E (as in 123.4567E3)
... Eng (engineering) Displays results in the example). ᕢ Move the cursor to the setting you enter numbers. Mode settings control how the TI-86 displays and interprets numbers and graphs. This example changes the decimal mode setting to 2, as in U.S. m. Viewing and Changing Modes To display... the mode settings, press - 34 Chapter 1: Operating the TI-86 In the screen to the right, the default mode settings are highlighted. All numbers, including elements of matrices and lists, are displayed to the left of E (as in 123.4567E3)
User Manual
Page 60
...) L1 (inverse) ^ (raise to a specified power) 10^ (10 to Z Reference. Keyboard Mathematical Functions You can use lists, vectors, or matrices, the valid functions return a list of tangent) log (logarithm) ln (natural log) ex (constant e raised to the reciprocal, 1àx. inverse of...) is equivalent to a power) p (constant pi; 3.1415926535898) If you use some of these mathematical functions in dimension. inverse of results calculated on the TI-86 keyboard. When you use these functions, refer to the A to a specified power) E (exponent) Key B - , - ~ Function sin...
...) L1 (inverse) ^ (raise to a specified power) 10^ (10 to Z Reference. Keyboard Mathematical Functions You can use lists, vectors, or matrices, the valid functions return a list of tangent) log (logarithm) ln (natural log) ex (constant e raised to the reciprocal, 1àx. inverse of...) is equivalent to a power) p (constant pi; 3.1415926535898) If you use some of these mathematical functions in dimension. inverse of results calculated on the TI-86 keyboard. When you use these functions, refer to the A to a specified power) E (exponent) Key B - , - ~ Function sin...
User Manual
Page 67
... mode only) and arc(. The function integral error value is more accurate. The built-in variable d defines the step size in calculating nDer( (in calculating fnInt(, fMin(, fMax(, and arc(. The value of each must be real numbers or lists As d becomes smaller, the approximation ... der2(, fMin(, fMax(, nDer(, seq(, and any equation variable, such as y1. valueA and valueB must be real or complex numbers, lists, vectors, matrices, or strings valueAvalueB (greater than valueB; returns 0 if not equal; For example, nDer(A^3,A,5) returns 75.0001 if d=.01, but returns 75 if d=.0001...
... mode only) and arc(. The function integral error value is more accurate. The built-in variable d defines the step size in calculating nDer( (in calculating fnInt(, fMin(, fMax(, and arc(. The value of each must be real numbers or lists As d becomes smaller, the approximation ... der2(, fMin(, fMax(, nDer(, seq(, and any equation variable, such as y1. valueA and valueB must be real or complex numbers, lists, vectors, matrices, or strings valueAvalueB (greater than valueB; returns 0 if not equal; For example, nDer(A^3,A,5) returns 75.0001 if d=.01, but returns 75 if d=.0001...
User Manual
Page 68
... is equal to valueB; For example: ♦ The expression 2+2==2+3 evaluates to control program flow (Chapter 16). The TI-86 performs the addition first, and then compares 4 to 5. ♦ The expression 2+(2==2)+3 evaluates to valueB; returns 0 if valueA ...TI-86 performs the test in Expressions and Instructions The TI-86 Evaluation Operating System (Appendix) performs all operations except Boolean operators before it performs relational functions. valueA and valueB can use relational functions to 0. valueA and valueB must be real or complex numbers, lists, vectors, matrices...
... is equal to valueB; For example: ♦ The expression 2+2==2+3 evaluates to control program flow (Chapter 16). The TI-86 performs the addition first, and then compares 4 to 5. ♦ The expression 2+(2==2)+3 evaluates to valueB; returns 0 if valueA ...TI-86 performs the test in Expressions and Instructions The TI-86 Evaluation Operating System (Appendix) performs all operations except Boolean operators before it performs relational functions. valueA and valueB can use relational functions to 0. valueA and valueB must be real or complex numbers, lists, vectors, matrices...
User Manual
Page 82
... with an angle symbol (- ). Lists, matrices, and vectors can be a real number or an expression that evaluates to them (as (real,imaginary). The graph format settings RectGC and PolarGC (Chapter 5) determine the complex number form of the current complex number mode setting. On the TI-86, you enter the complex number a+bi...
... with an angle symbol (- ). Lists, matrices, and vectors can be a real number or an expression that evaluates to them (as (real,imaginary). The graph format settings RectGC and PolarGC (Chapter 5) determine the complex number form of the current complex number mode setting. On the TI-86, you enter the complex number a+bi...
User Manual
Page 90
78 Chapter 5: Function Graphing You can edit expressions you include matrices, vectors, or complex values, the equation must evaluate to a real number at the Rcl prompt, use the ALPHA keys, alpha keys, and other equations in ... the equation editor menu, and then enter the appropriate number. ♦ To insert the contents of each point. ♦ You can include functions, variables, constants, matrices, matrix elements, vectors, vector elements, lists, list elements, complex values, or other character keys. ♦ To select all functions from the home screen or in...
78 Chapter 5: Function Graphing You can edit expressions you include matrices, vectors, or complex values, the equation must evaluate to a real number at the Rcl prompt, use the ALPHA keys, alpha keys, and other equations in ... the equation editor menu, and then enter the appropriate number. ♦ To insert the contents of each point. ♦ You can include functions, variables, constants, matrices, matrix elements, vectors, vector elements, lists, list elements, complex values, or other character keys. ♦ To select all functions from the home screen or in...
User Manual
Page 189
13 Matrices Matrices on the TI-86 178 Creating, Storing, and Displaying Matrices 178 Using Mathematical Functions with Matrices 185 TI -86 M1 M2 M3 M4 M5 F1 F2 F3 F4 F5
13 Matrices Matrices on the TI-86 178 Creating, Storing, and Displaying Matrices 178 Using Mathematical Functions with Matrices 185 TI -86 M1 M2 M3 M4 M5 F1 F2 F3 F4 F5
User Manual
Page 190
... Name= prompt screen. - ‰ ' ᕢ ALPHA-lock is on the TI-86 A matrix is displayed. Enter a name from the menu. 178 Chapter 13: Matrices The TI-86 distinguishes between uppercase and lowercase letters in alphanumeric order. Matrices on . Creating, Storing, and Displaying Matrices The MATRX (Matrix) Menu - ‰ NAMES EDIT MATH OPS CPLX matrix names... names. For example, MAT1 and mat1 are stored to 1 1 eight characters long, starting with a letter. The matrix elements can create, display, and edit matrices on the home screen or in rows and columns.
... Name= prompt screen. - ‰ ' ᕢ ALPHA-lock is on the TI-86 A matrix is displayed. Enter a name from the menu. 178 Chapter 13: Matrices The TI-86 distinguishes between uppercase and lowercase letters in alphanumeric order. Matrices on . Creating, Storing, and Displaying Matrices The MATRX (Matrix) Menu - ‰ NAMES EDIT MATH OPS CPLX matrix names... names. For example, MAT1 and mat1 are stored to 1 1 eight characters long, starting with a letter. The matrix elements can create, display, and edit matrices on the home screen or in rows and columns.
User Manual
Page 191
... on The Matrix Editor Menu - ‰ ' matrixName b INSr DELr INSc DELc 4REAL INSr DELr INSc DELc 4REAL Inserts a row at the cursor location; Chapter 13: Matrices 179 ᕣ Display the matrix editor and the matrix editor menu. ᕤ Accept or change the matrix dimensions (row × column) in the last column...
... on The Matrix Editor Menu - ‰ ' matrixName b INSr DELr INSc DELc 4REAL INSr DELr INSc DELc 4REAL Inserts a row at the cursor location; Chapter 13: Matrices 179 ᕣ Display the matrix editor and the matrix editor menu. ᕤ Accept or change the matrix dimensions (row × column) in the last column...
User Manual
Page 192
...; - „ 2 P 4 P 6 P 8 -... - „ a 1 P a 3 P a 5 P a7- ... -... Either enter a name from the MATRX NAMES menu. To create a complex matrix from two real matrices with a letter, or select a name from one to a matrix name. 180 Chapter 13: Matrices The close bracket is displayed. Creating a Matrix on the Home Screen ᕡ Define the start of the matrix with... and imaginaryMatrix contains the imaginary part of each element. Define the end of each row with a comma. For example, when you enter the matrix [[1,2][5,(3,1)]], the TI-86 displays [[(1,0) (2,0)][(5,0) (3,1)]].
...; - „ 2 P 4 P 6 P 8 -... - „ a 1 P a 3 P a 5 P a7- ... -... Either enter a name from the MATRX NAMES menu. To create a complex matrix from two real matrices with a letter, or select a name from one to a matrix name. 180 Chapter 13: Matrices The close bracket is displayed. Creating a Matrix on the Home Screen ᕡ Define the start of the matrix with... and imaginaryMatrix contains the imaginary part of each element. Define the end of each row with a comma. For example, when you enter the matrix [[1,2][5,(3,1)]], the TI-86 displays [[(1,0) (2,0)][(5,0) (3,1)]].
User Manual
Page 193
... can select the matrix name from the VARS MATRX screen (- The full value of matrixName, the syntax is: matrixName(beginRow,beginColumn,endRow,endColumn) Chapter 13: Matrices 181 Using a Matrix in an Expression ♦ You can enter the matrix directly (for example, MAT1¹3). ♦ You can select the matrix name from...
... can select the matrix name from the VARS MATRX screen (- The full value of matrixName, the syntax is: matrixName(beginRow,beginColumn,endRow,endColumn) Chapter 13: Matrices 181 Using a Matrix in an Expression ♦ You can enter the matrix directly (for example, MAT1¹3). ♦ You can select the matrix name from...
User Manual
Page 194
... elements. ᕦ Save the changes and leave the matrix editor. # 45 b " 21 b 2 ~ b . Continue moving the cursor to any element and edit it. Editing Matrices in the Matrix Editor ᕡ Display the matrix Name= prompt screen. ᕢ Enter the matrix name. 182 Chapter 13...: Matrices You can overwrite existing characters. Editing Matrices on the Home Screen To change a matrix element value, the syntax is: value¶matrixName(row,column) To change the values of an ...
... elements. ᕦ Save the changes and leave the matrix editor. # 45 b " 21 b 2 ~ b . Continue moving the cursor to any element and edit it. Editing Matrices in the Matrix Editor ᕡ Display the matrix Name= prompt screen. ᕢ Enter the matrix name. 182 Chapter 13...: Matrices You can overwrite existing characters. Editing Matrices on the Home Screen To change a matrix element value, the syntax is: value¶matrixName(row,column) To change the values of an ...
User Manual
Page 195
... of a real or complex squareMatrix Returns a matrix containing the eigenvectors for a real or complex squareMatrix; each column of matrix Calculates the Crout LU (lower-upper) decomposition of squareMatrix Returns a transposed matrix; Chapter 13: Matrices 183 The MATRX MATH Menu - ‰ ( NAMES EDIT MATH OPS CPLX det T norm eigVl eigVc 4 rnorm cnorm LU...
... of a real or complex squareMatrix Returns a matrix containing the eigenvectors for a real or complex squareMatrix; each column of matrix Calculates the Crout LU (lower-upper) decomposition of squareMatrix Returns a transposed matrix; Chapter 13: Matrices 183 The MATRX MATH Menu - ‰ ( NAMES EDIT MATH OPS CPLX det T norm eigVl eigVc 4 rnorm cnorm LU...
User Manual
Page 196
...;number) stored in row mRAdd(number,matrix,rowA,rowB) Returns matrix with ((rowA¹number)+rowB) stored in vector. Elements of matrices created with random elements 184 Chapter 13: Matrices Press X to each matrixName element ident dimension Returns the square identity matrix of dimension × dimension ref matrix Returns the row-echelon...
...;number) stored in row mRAdd(number,matrix,rowA,rowB) Returns matrix with ((rowA¹number)+rowB) stored in vector. Elements of matrices created with random elements 184 Chapter 13: Matrices Press X to each matrixName element ident dimension Returns the square identity matrix of dimension × dimension ref matrix Returns the row-echelon...
User Manual
Page 197
...the corresponding matrixA element; returns a matrix of the differences To add or subtract two matrices, the dimensions of matrixA must equal the dimensions of complexMatrix is complex; the polar angles are calculated as tanL1(imaginary / real) adjusted by +p in the second quadrant and by ...the magnitude (modulus) of the corresponding element of a complex matrix Returns a real matrix in the third quadrant Using Mathematical Functions with Matrices matrixA+matrixB matrixANmatrixB Adds each element is either 0 if the element of complexMatrix is real or the polar angle if the element of...
...the corresponding matrixA element; returns a matrix of the differences To add or subtract two matrices, the dimensions of matrixA must equal the dimensions of complexMatrix is complex; the polar angles are calculated as tanL1(imaginary / real) adjusted by +p in the second quadrant and by ...the magnitude (modulus) of the corresponding element of a complex matrix Returns a real matrix in the third quadrant Using Mathematical Functions with Matrices matrixA+matrixB matrixANmatrixB Adds each element is either 0 if the element of complexMatrix is real or the polar angle if the element of...
User Manual
Page 198
... squareMatrix Returns the square matrix cosine of a real squareMatrix matrixA==matrixB Returns 1 if every corresponding element comparison is the product of matrixB. 186 Chapter 13: Matrices To multiply two matrices, the column dimension of matrixA must equal the row dimension of each vector element times each matrix element;
... squareMatrix Returns the square matrix cosine of a real squareMatrix matrixA==matrixB Returns 1 if every corresponding element comparison is the product of matrixB. 186 Chapter 13: Matrices To multiply two matrices, the column dimension of matrixA must equal the row dimension of each vector element times each matrix element;
User Manual
Page 207
... on or turn off stat plots. Each stat plot type has a unique stat plot editor. In this guidebook, brackets ( ã and ä ) with vectors and matrices. PlOn or PlOff is displayed. Setting Up a Stat Plot To set up a stat plot, select PLOT1, PLOT2, or PLOT3 from the STAT PLOT menu. If...
... on or turn off stat plots. Each stat plot type has a unique stat plot editor. In this guidebook, brackets ( ã and ä ) with vectors and matrices. PlOn or PlOff is displayed. Setting Up a Stat Plot To set up a stat plot, select PLOT1, PLOT2, or PLOT3 from the STAT PLOT menu. If...