Casio FX-CG10, User Manual

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2-54
u
Matrix Arithmetic Operations
[OPTN] - [MAT/VCT] - [Mat]/[Identity]
Example 1 To add the following two matrices (Matrix A + Matrix B):
K
2
(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)
K
2
(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.
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Determinant
[OPTN] - [MAT/VCT] - [Det]
Example Obtain the determinant for the following matrix:
Matrix A =
1 2 3
4 5 6
−1 −2 0
K
2
(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 =