Texas Instruments TI-89 User Manual - Page 903

^ (power) Z key expression1 ^ expression2 ⇒ expression list1 ^ list2 ⇒ list Returns the first argument raised to the power of the second argument. 4^2 ¸ {a,2,c}^{1,b,3} ¸ 16 {a 2b cò } For a list, returns the elements in list1 raised to the power of the corresponding elements in list2. In the real domain, fractional powers that have reduced exponents with odd denominators use the real branch versus the principal branch for complex mode. expression ^ list1 ⇒ list Returns expression raised to the power of the elements in list1. p^{a,2,ë 3} ¸ {pa pñ 1 pò } list1 ^ expression ⇒ list Returns the elements in list1 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 integer power. 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. If integer < ë 1, computes the inverse matrix to an appropriate positive power. .+ (dot add) ¶ « keys matrix1 .+ matrix2 ⇒ matrix expression .+ matrix1 ⇒ matrix matrix1 .+ matrix2 returns a matrix that is the sum of each pair of corresponding elements in matrix1 and matrix2. expression .+ matrix1 returns a matrix that is the sum of expression and each element in matrix1. [a,2;b,3].+[c,4;5,d] ¸ x.+[c,4;5,d] ¸ .. (dot subt.) ¶ | keys matrix1 .ì matrix2 ⇒ matrix expression .ì matrix1 ⇒ matrix matrix1 .ì matrix2 returns a matrix that is the difference between each pair of corresponding elements in matrix1 and matrix2. expression .ì matrix1 returns a matrix that is the difference of expression and each element in matrix1. [a,2;b,3].ì [c,4;d,5] ¸ x.ì [c,4;d,5] ¸ Appendix A: Functions and Instructions 903