Casio FX-9750GII-SC User Guide - Page 85
Squaring a Matrix, Raising a Matrix to a Power, Determining the Absolute Value, Integer Part
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• Only square matrices (same number of rows and columns) can be inverted. Trying to invert a matrix that is not square produces an error. • A matrix with a determinant of zero cannot be inverted. Trying to invert a matrix with determinant of zero produces an error. • Calculation precision is affected for matrices whose determinant is near zero. • A matrix being inverted must satisfy the conditions shown below. A A-1 = A-1 A = E = 10 01 The following shows the formula used to invert Matrix A into inverse matrix A-1. A = A-1= ab cd 1 ad - bc d -b -c a Note that ad - bc x 0. S Squaring a Matrix [x2] Example To square the following matrix: 12 Matrix A = 34 *(MAT)(Mat)?T(A)VU S Raising a Matrix to a Power [^] Example To raise the following matrix to the third power: 12 Matrix A = 34 *(MAT)(Mat)?T(A) ,BU • For matrix power calculations, calculation is possible up to a power of 32766. S Determining the Absolute Value, Integer Part, Fraction Part, and Maximum Integer of a Matrix [OPTN]-[NUM]-[Abs]/[Frac]/[Int]/[Intg] Example To determine the absolute value of the following matrix: 1 -2 Matrix A = -3 4 *(E)(NUM)(Abs) *(MAT)(Mat)?T(A)U 2-47