109
kk
kk
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 :
1 2 3
Matrix A =
4 5 6
–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 a22 – 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 a22a33 + a12a23a31 + a13a21a32
– a11a23a32 – a12a21a33 – a13a22a31
1 23456
Matrix Calculations 6 - 4
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