2-54
u Matrix Arithmetic Operations [OPTN] - [MAT/VCT] - [Mat]/[Identity]
Example 1 To add the following two matrices (Matrix A + Matrix B):
K2(MAT/VCT) 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/VCT) 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/VCT] - [Det]
Example Obtain the determinant for the following matrix:
Matrix A =
1 2 3
4 5 6
−1 −2 0
K2(MAT/VCT) 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 | =
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
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
a
11
a
12
a
13
a
21
a
22
a
23
a
31
a
32
a
33
|A| =
1 1
2 1
2 3
2 1
Matrix A = Matrix B =
1 1
2 1
2 3
2 1
Matrix A = Matrix B =
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