Casio fx-9750G PLUS - Manual (Page 122)

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Example Obtain the determinant for the following matrix :
1 2 3
Matrix A = 4 5 6
–1 –2 0
3 (Det)1(Mat)aAw
• 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 | =
a
11
a
12
= a
11
a
22
– a
12
a
21
a
21
a
22
• The determinant of a 3 × 3 matrix is calculated as shown below.
a
11
a
12
a
13
| A | = a
21
a
22
a
23
a
31
a
32
a
33
= a
11
a
22
a
33
+ a
12
a
23
a
31
+ a
13
a
21
a
32
– a
11
a
23
a
32
– a
12
a
21
a
33
– a
13
a
22
a
31
k k k k k Matrix Transposition
A matrix is transposed when its rows become columns and its columns become
rows. The following is the format for matrix transposition.
Matrix
Mat A
4 (Trn) w
Mat Z
MatAns
Example To transpose the following matrix :
1 2
Matrix A = 3 4
5 6
4 (Trn)1(Mat)aAw
6 - 4
Matrix Calculations