User Manual
Page 747
...3x3 identity to a and store the result in the history area to scroll the result. Use rref( ) to "row reduce" matrix b: The result will have the identity matrix in the first three columns and a^L1 in a. 2. Activities 747 Note: Use the cursor in b. 3. Replace the [2,3] element... of the inverse. 1. Exploring a 3x3 Matrix Perform these steps to generate a random matrix, augment and find the identity matrix, and then solve to find an invalid value of the matrix with the variable x, and then use randMat( ) to create a random 3x3...
...3x3 identity to a and store the result in the history area to scroll the result. Use rref( ) to "row reduce" matrix b: The result will have the identity matrix in the first three columns and a^L1 in a. 2. Activities 747 Note: Use the cursor in b. 3. Replace the [2,3] element... of the inverse. 1. Exploring a 3x3 Matrix Perform these steps to generate a random matrix, augment and find the identity matrix, and then solve to find an invalid value of the matrix with the variable x, and then use randMat( ) to create a random 3x3...
User Manual
Page 748
... following steps to scroll the result. Enter: solve(getDenom( 2 ± [1,4] )=0,x) Result: x= L70/17 Note: Use the cursor in the history area to observe where the graphs of the functions y1(x)=cos(x) and y2(x)=sin(x) intersect. 1. Press „ and select A:ZoomFit. Exploring cos(x) = sin(x) This activity uses two methods to find where...
... following steps to scroll the result. Enter: solve(getDenom( 2 ± [1,4] )=0,x) Result: x= L70/17 Note: Use the cursor in the history area to observe where the graphs of the functions y1(x)=cos(x) and y2(x)=sin(x) intersect. 1. Press „ and select A:ZoomFit. Exploring cos(x) = sin(x) This activity uses two methods to find where...
User Manual
Page 796
...(0) ¸ 100 In Radian angle mode: cosê ({0,.2,.5}) ¸ {p2 1.369... 1.047...} cosê(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse cosine of squareMatrix1. cosh(1.2) ¸ cosh({0,1.2}) ¸ 1.810... {1 1.810...} cosh (list1) returns a list of the hyperbolic cosines of each ...Radian angle mode: Returns the matrix hyperbolic cosine of each element. squareMatrix1 must be diagonalizable. This is not the same as calculating the inverse cosine of each element of list1. For information about the calculation method, refer to the current ...
...(0) ¸ 100 In Radian angle mode: cosê ({0,.2,.5}) ¸ {p2 1.369... 1.047...} cosê(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse cosine of squareMatrix1. cosh(1.2) ¸ cosh({0,1.2}) ¸ 1.810... {1 1.810...} cosh (list1) returns a list of the hyperbolic cosines of each ...Radian angle mode: Returns the matrix hyperbolic cosine of each element. squareMatrix1 must be diagonalizable. This is not the same as calculating the inverse cosine of each element of list1. For information about the calculation method, refer to the current ...
User Manual
Page 797
cotL1(1) ¸ 50 Note: The result is expression1 or returns a list containing the In Gradian angle mode: inverse cotangents of each element of list1. cothL1(3.5) ¸ .293... list1 and list2 must have equal dimension, and the dimension...MATH/Hyperbolic menu cothL1(expression1) ⇒ expression cothL1(list1) ⇒ list Returns the inverse hyperbolic cotangent of expression1 or returns a list containing the inverse hyperbolic cotangents of each element of list1. ln(27/5)} crossP( ) MATH/Matrix/Vector ops menu crossP(list1, list2) ⇒ list Returns the cross product of ...
cotL1(1) ¸ 50 Note: The result is expression1 or returns a list containing the In Gradian angle mode: inverse cotangents of each element of list1. cothL1(3.5) ¸ .293... list1 and list2 must have equal dimension, and the dimension...MATH/Hyperbolic menu cothL1(expression1) ⇒ expression cothL1(list1) ⇒ list Returns the inverse hyperbolic cotangent of expression1 or returns a list containing the inverse hyperbolic cotangents of each element of list1. ln(27/5)} crossP( ) MATH/Matrix/Vector ops menu crossP(list1, list2) ⇒ list Returns the cross product of ...
User Manual
Page 812
...¸ 45ó 22'15.6" {45.371,60} 4DMS ¸ {45ó 22'15.6" 60ó } Note: 4DMS will occur. dotP( ) MATH/Matrix/Vector ops menu dotP(list1, list2) ⇒ expression Returns the "dot" product of an entry line. dotP({a,b,c},{d,e,f}) ¸ aø d + bø e + c...Note: Regraphing erases all drawn items. In function graphing mode and ZoomStd window: DrawFunc 1.25xù cos(x) ¸ DrawInv CATALOG DrawInv expression Draws the inverse of two vectors. Note: Regraphing erases all drawn items. In function graphing mode and ZoomStd window: DrawInv 1.25xù cos...
...¸ 45ó 22'15.6" {45.371,60} 4DMS ¸ {45ó 22'15.6" 60ó } Note: 4DMS will occur. dotP( ) MATH/Matrix/Vector ops menu dotP(list1, list2) ⇒ expression Returns the "dot" product of an entry line. dotP({a,b,c},{d,e,f}) ¸ aø d + bø e + c...Note: Regraphing erases all drawn items. In function graphing mode and ZoomStd window: DrawFunc 1.25xù cos(x) ¸ DrawInv CATALOG DrawInv expression Draws the inverse of two vectors. Note: Regraphing erases all drawn items. In function graphing mode and ZoomStd window: DrawInv 1.25xù cos...
User Manual
Page 877
... In Radian angle mode: sinê ({0,.2,.5}) ¸ {0 .201... .523...} sinê(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse sine of the argument as an expression. squareMatrix1 must be diagonalizable. This is not the same as calculating the hyperbolic sine of each element of each element. In Radian angle mode and Rectangular complex format...
... In Radian angle mode: sinê ({0,.2,.5}) ¸ {0 .201... .523...} sinê(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse sine of the argument as an expression. squareMatrix1 must be diagonalizable. This is not the same as calculating the hyperbolic sine of each element of each element. In Radian angle mode and Rectangular complex format...
User Manual
Page 878
This is used. For information about the calculation method, refer to be a variable name and cannot be equations or inequalities for all the system statistics variables. In function graphing mode: seq(x,x,1,361,30)!L1 ¸ {1 31 61 ...} {5.5,8,11,13.5,16.5,19,19.5,17, 14.5,12...have equal dimensions except for var. list4 represents category include list. sinhê(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse hyperbolic sine of solutions is to produce exact solutions when they are concise, and supplemented by iterative searches with approximate ...
This is used. For information about the calculation method, refer to be a variable name and cannot be equations or inequalities for all the system statistics variables. In function graphing mode: seq(x,x,1,361,30)!L1 ¸ {1 31 61 ...} {5.5,8,11,13.5,16.5,19,19.5,17, 14.5,12...have equal dimensions except for var. list4 represents category include list. sinhê(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse hyperbolic sine of solutions is to produce exact solutions when they are concise, and supplemented by iterative searches with approximate ...
User Manual
Page 887
...ê (1) ¸ 50 In Radian angle mode: tanê ({0,.2,.5}) ¸ {0 .197... .463...} tanê(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse tangent of each element of squareMatrix1. This is not the same as calculating the hyperbolic tangent of squareMatrix1. This is not the same as an expression. In Radian angle mode: tanê...
...ê (1) ¸ 50 In Radian angle mode: tanê ({0,.2,.5}) ¸ {0 .197... .463...} tanê(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse tangent of each element of squareMatrix1. This is not the same as calculating the hyperbolic tangent of squareMatrix1. This is not the same as an expression. In Radian angle mode: tanê...
User Manual
Page 888
...expression1, var, order[, point]) ⇒ expression Returns the requested Taylor polynomial. For information about the calculation method, refer to zero and is not the same as an expression. expand(taylor(x/(xù(xì1)), ...inverse hyperbolic tangent of the argument as calculating the inverse hyperbolic tangent of each element of list1. In rectangular complex format mode: tanhê (0) ¸ 0 tanhê ({1,2.1,3}) ¸ {ˆ .518... ì 1.570...ø i ln(2) 2ì p2ø i} tanhê(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse...
...expression1, var, order[, point]) ⇒ expression Returns the requested Taylor polynomial. For information about the calculation method, refer to zero and is not the same as an expression. expand(taylor(x/(xù(xì1)), ...inverse hyperbolic tangent of the argument as calculating the inverse hyperbolic tangent of each element of list1. In rectangular complex format mode: tanhê (0) ¸ 0 tanhê ({1,2.1,3}) ¸ {ˆ .518... ì 1.570...ø i ln(2) 2ì p2ø i} tanhê(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse...
User Manual
Page 903
... raised to the power of expression. {1,2,3,4}^ë 2 ¸ {1 1/4 1/9 1/16} squareMatrix1 ^ integer ⇒ matrix Returns squareMatrix1 raised to the power of the corresponding elements in list2. squareMatrix1 must be a square matrix. [1,2;3,4]^2 ¸ [1,2;3,4]^ë 1 ¸ [1,2;3,4]^ë 2 ¸ If integer = ë 1, computes the inverse matrix. In the real domain, fractional powers that is the difference of corresponding...
... raised to the power of expression. {1,2,3,4}^ë 2 ¸ {1 1/4 1/9 1/16} squareMatrix1 ^ integer ⇒ matrix Returns squareMatrix1 raised to the power of the corresponding elements in list2. squareMatrix1 must be a square matrix. [1,2;3,4]^2 ¸ [1,2;3,4]^ë 1 ¸ [1,2;3,4]^ë 2 ¸ If integer = ë 1, computes the inverse matrix. In the real domain, fractional powers that is the difference of corresponding...
User Manual
Page 907
... expression ‰(list1,var [,order]) ⇒ list ‰(matrix1,var [,order]) ⇒ matrix Returns the integral of integration if only upper is tried first, if applicable. Such a constant might... valid anti-derivatives might be disguised-particularly when an anti-derivative contains logarithms or inverse trigonometric functions. Integration limits can be determined. & (append) ¥ p .... Moreover, piecewise constant expressions are omitted. tmp(x) ¸ ClrGraph:Graph tmp(x):Graph 1/(2ì cos(x)):Graph ‡(3) (2tanê (‡(3)(tan(x/2)))/3) ¸ ‰() ...
... expression ‰(list1,var [,order]) ⇒ list ‰(matrix1,var [,order]) ⇒ matrix Returns the integral of integration if only upper is tried first, if applicable. Such a constant might... valid anti-derivatives might be disguised-particularly when an anti-derivative contains logarithms or inverse trigonometric functions. Integration limits can be determined. & (append) ¥ p .... Moreover, piecewise constant expressions are omitted. tmp(x) ¸ ClrGraph:Graph tmp(x):Graph 1/(2ì cos(x)):Graph ‡(3) (2tanê (‡(3)(tan(x/2)))/3) ¸ ‰() ...
User Manual
Page 911
...235; 1 ¸ [1,2;a,4]^ë 1 ¸ squareMatrix1 must be a non-singular square matrix. For a list of valid pre-defined units, refer to the module about the calculation method, refer to the power of each element. For information about constants and measurement units....184; .322581 {a,4,ë.1,xì 2}^ë 1 ¸ {1a 1 4 ë 10. 1 xì 2} squareMatrix1 xê ⇒ squareMatrix Returns the inverse of the argument. For a list, returns the reciprocals of the elements in the same category. 4 (convert) 2 key expression_unit1 4 _unit2 ⇒ ...
...235; 1 ¸ [1,2;a,4]^ë 1 ¸ squareMatrix1 must be a non-singular square matrix. For a list of valid pre-defined units, refer to the module about the calculation method, refer to the power of each element. For information about constants and measurement units....184; .322581 {a,4,ë.1,xì 2}^ë 1 ¸ {1a 1 4 ë 10. 1 xì 2} squareMatrix1 xê ⇒ squareMatrix Returns the inverse of the argument. For a list, returns the reciprocals of the elements in the same category. 4 (convert) 2 key expression_unit1 4 _unit2 ⇒ ...
User Manual
Page 977
colNorm( ), matrix column norm . . . . 794 combinations, nCr 846 comDenom( ),... overhead panel . . 68 TI-Presenter video adapter . . . . . 68 Constant Memory 146 Constant Memory feature 17 constants 279 predefined 293 contact information 965 contour plots 396, 400, 401 DrwCtour, draw contour 400 contour-level graphing . . . . 104, 395,...), hyperbolic cosine 798 cosh/( ), hyperbolic arccosine 798 cot( ), cotangent 798 cot/( ), inverse cotangent 799 coth( ), hyperbolic cotangent 799 coth/( ), inverse hyperbolic cotangent . . . 799 crossP( ), cross product 799 csc( ), cosecant 799 csc...
colNorm( ), matrix column norm . . . . 794 combinations, nCr 846 comDenom( ),... overhead panel . . 68 TI-Presenter video adapter . . . . . 68 Constant Memory 146 Constant Memory feature 17 constants 279 predefined 293 contact information 965 contour plots 396, 400, 401 DrwCtour, draw contour 400 contour-level graphing . . . . 104, 395,...), hyperbolic cosine 798 cosh/( ), hyperbolic arccosine 798 cot( ), cotangent 798 cot/( ), inverse cotangent 799 coth( ), hyperbolic cotangent 799 coth/( ), inverse hyperbolic cotangent . . . 799 crossP( ), cross product 799 csc( ), cosecant 799 csc...
User Manual
Page 978
.../( ),inverse hyperbolic cosecant 800 cSolve( ), complex solve 240, 800 cSolve(†), complex solve 938 cubic regression, CubicReg . . . 546, 945 CubicReg, cubic regression . . .546, 802, 945 cumSum( ), cumulative sum . . . 534, 803 Current folder mode 187, 922 Current folder status 38 Current mode 18 cursor 3D graph 382 ... ), first derivative 79, 247, 265, 267, 806 darker/lighter 147 data (new), NewData 846 data filtering 757 data plots 119 Data/Matrix Editor cell width 527 column header . .528, 531, 532, 533 filling 525 list variable 520, 522 new, NewData 597 scrolling 525 8
.../( ),inverse hyperbolic cosecant 800 cSolve( ), complex solve 240, 800 cSolve(†), complex solve 938 cubic regression, CubicReg . . . 546, 945 CubicReg, cubic regression . . .546, 802, 945 cumSum( ), cumulative sum . . . 534, 803 Current folder mode 187, 922 Current folder status 38 Current mode 18 cursor 3D graph 382 ... ), first derivative 79, 247, 265, 267, 806 darker/lighter 147 data (new), NewData 846 data filtering 757 data plots 119 Data/Matrix Editor cell width 527 column header . .528, 531, 532, 533 filling 525 list variable 520, 522 new, NewData 597 scrolling 525 8
User Manual
Page 986
...304, 342, 349, 356 377, 412, 922 graph mode status 38 graph number mode status 38 Graph Order graph format . . . . 316, 414 Graph, graph 830 graph, Graph 309, 473, 480, 628 GraphTable, table-graph 456 graphing category 32 graphs number of 62, 64 graphs and graphing *f(x)dx 331, 334 3D 375-409 animation 500 ...627, 823 graph databases 503 graph, Graph 473, 628, 830 Home screen 471, 473 implicit plots 404, 407 independent variable 471 Inflection 331, 335 Intersection 331, 333 inverse functions 488 line styles . .311, 343, 351, 358, 378 math functions 331 matrix data 469 Maximum...
...304, 342, 349, 356 377, 412, 922 graph mode status 38 graph number mode status 38 Graph Order graph format . . . . 316, 414 Graph, graph 830 graph, Graph 309, 473, 480, 628 GraphTable, table-graph 456 graphing category 32 graphs number of 62, 64 graphs and graphing *f(x)dx 331, 334 3D 375-409 animation 500 ...627, 823 graph databases 503 graph, Graph 473, 628, 830 Home screen 471, 473 implicit plots 404, 407 independent variable 471 Inflection 331, 335 Intersection 331, 333 inverse functions 488 line styles . .311, 343, 351, 358, 378 math functions 331 matrix data 469 Maximum...
User Manual
Page 988
...888 I ID list 736, 738 ID number . 233, 731, 732, 733, 736, 738 identity matrix, identity 831 identity( ), identity matrix 831 If, if 831 if, If 478, 582, 606, 607 imag( ), imaginary part 831 ... input string . .601, 619, 728, 832 insert mode (2 16 inString( ), within string 602, 833 instructions 159 calculator Home screen 24 Catalog 21 insufficient display memory, . 229 int( ), integer 833 intDiv( ), integer divide 683, 833 integer... 242, 243, 247, 266 267, 908 international/accented characters . . . . 10 Intersection (graph math tool) . . 331, 333 inverse cosecant, csc 800 18
...888 I ID list 736, 738 ID number . 233, 731, 732, 733, 736, 738 identity matrix, identity 831 identity( ), identity matrix 831 If, if 831 if, If 478, 582, 606, 607 imag( ), imaginary part 831 ... input string . .601, 619, 728, 832 insert mode (2 16 inString( ), within string 602, 833 instructions 159 calculator Home screen 24 Catalog 21 insufficient display memory, . 229 int( ), integer 833 intDiv( ), integer divide 683, 833 integer... 242, 243, 247, 266 267, 908 international/accented characters . . . . 10 Intersection (graph math tool) . . 331, 333 inverse cosecant, csc 800 18
User Manual
Page 1000
...round 867 row echelon form, ref 864 rowAdd( ), matrix row addition . . . . . 867 rowDim( ), matrix row dimension . . . 867 rowNorm( ), matrix row norm 867 rowSwap( ), matrix row swap 868 RplcPic, replace picture 629, 868 ..., 463 sec( ), secant 868 sec/( ), inverse secant 869 secant, sec 868 sech( ), hyperbolic secant 869 sech/( ),inverse hyperbolic secant . . 869 Second modifier key ...calculator . . 634, 727, 728 869 SendChat, send chat . . . . . 727, 728, 870 SEQ (sequence) mode 38 seq( ), sequence 870 sequence graphing 354-374 serial number 233 set folder, setFold 617, 871 graph...
...round 867 row echelon form, ref 864 rowAdd( ), matrix row addition . . . . . 867 rowDim( ), matrix row dimension . . . 867 rowNorm( ), matrix row norm 867 rowSwap( ), matrix row swap 868 RplcPic, replace picture 629, 868 ..., 463 sec( ), secant 868 sec/( ), inverse secant 869 secant, sec 868 sech( ), hyperbolic secant 869 sech/( ),inverse hyperbolic secant . . 869 Second modifier key ...calculator . . 634, 727, 728 869 SendChat, send chat . . . . . 727, 728, 870 SEQ (sequence) mode 38 seq( ), sequence 870 sequence graphing 354-374 serial number 233 set folder, setFold 617, 871 graph...