Casio FX-CG10 Software User Guide - Page 99
Matrix Arithmetic Operations, Determinant, Obtain the determinant for the following matrix
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u Matrix Arithmetic Operations [OPTN]-[MAT]-[Mat]/[Identity] Example 1 To add the following two matrices (Matrix A + Matrix B): 1 1 A = 2 1 2 3 B = 2 1 K2(MAT)1(Mat)av(A)+ 1(Mat)al(B)w Example 2 To multiply the two matrices in Example 1 (Matrix A × Matrix B) K2(MAT)1(Mat)av(A)* 1(Mat)al(B)w • 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 × Matrix 2), the number of columns in Matrix 1 must match the number of rows in Matrix 2. Otherwise, an error occurs. u Determinant [OPTN]-[MAT]-[Det] Example Obtain the determinant for the following matrix: 1 2 3 Matrix A = 4 5 6 −1 −2 0 K2(MAT)3(Det)1(Mat) av(A)w • 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 × 2 matrix is calculated as shown below. |A| = a11 a12 a21 a22 = a11a22 - a12a21 • The determinant of a 3 × 3 matrix is calculated as shown below. |A| = a11 a12 a13 a21 a22 a23 a31 a32 a33 = a11a22a33 + a12a23a31 + a13a21a32 - a11a23a32 - a12a21a33 - a13a22a31 2-53