Casio FX-9750GII-SC User Guide - Page 83

S Matrix Arithmetic Operations [OPTN]-[MAT]-[Mat]/[Iden] Example 1 To add the following two matrices (Matrix A + Matrix B): 11 A= 21 23 B= 21 *(MAT)(Mat)?T(A) (Mat)?J(B)U Example 2 To multiply the two matrices in Example 1 (Matrix A s Matrix B) *(MAT)(Mat)?T(A) (Mat)?J(B)U • The two matrices must have the same dimensions in order to be added or subtracted. An error occurs if you try to add or subtract matrices of different dimensions. • For multiplication (Matrix 1 s Matrix 2), the number of columns in Matrix 1 must match the number of rows in Matrix 2. Otherwise, an error occurs. S Determinant [OPTN]-[MAT]-[Det] Example Obtain the determinant for the following matrix: 123 Matrix A = 4 5 6 −1 −2 0 *(MAT)(Det)(Mat) ?T(A)U • Determinants can be obtained only for square matrices (same number of rows and columns). Trying to obtain a determinant for a matrix that is not square produces an error. • The determinant of a 2 s 2 matrix is calculated as shown below. |A| = a11 a12 a21 a22 = a11a22 - a12a21 • The determinant of a 3 s 3 matrix is calculated as shown below. |A| = a11 a12 a13 a21 a22 a23 a31 a32 a33 = a11a22a33 + a12a23a31 + a13a21a32 - a11a23a32 - a12a21a33 - a13a22a31 S Matrix Transposition [OPTN]-[MAT]-[Trn] A matrix is transposed when its rows become columns and its columns become rows. Example To transpose the following matrix: 12 Matrix A = 3 4 56 2-45