Casio fx-9750G Matrix Calculations Manual do Utilizador descarregar pdf (Página 19)

109

k Determinant

The following is the format for obtaining a determinant.

Matrix

Mat A

3 (Det) w

Mat Z

MatAns

Example Obtain the determinant for the following matrix :

123

Matrix A =

456

–1 –2 0

3(Det)1(Mat)aAw

This display indicates determinant |A| = –9.

• 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 pro-

duces an error (Dim ERROR).

• The determinant of a 2 × 2 matrix is calculated as shown below.

| A | =

a11 a12

= a11 a 22 – a12a21

a21 a22

• The determinant of a 3 × 3 matrix is calculated as shown below.

a11 a12 a13

|A|= a21 a22 a23

a31 a32 a33

= a11 a 22a33 + a12a23a31 + a13a21a32

– a11a23a32 – a12a21a33 – a13a22a31

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