Matrix Transposition - Casio FX-7400GII - SOFTWARE VERSION 2-00 User Manual

Matrix Arithmetic Operations
Example 1 To add the following two matrices (Matrix A + Matrix B):
A = A =
(Mat)
Example 2 To multiply the two matrices in Example 1 (Matrix A
(Mat)
• 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
number of rows in Matrix 2. Otherwise, an error occurs.
Determinant
Example Obtain the determinant for the following matrix:
Matrix A =
• 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
a a
11 12
| A | = = a
a a
21 22
• The determinant of a 3
a a a
11 12 13
a a a
| A | =
21 22 23
a a a
31 32 33

Matrix Transposition

A matrix is transposed when its rows become columns and its columns become rows.
Example To transpose the following matrix:
Matrix A =
1 1 1 1
B = B =
2 2 1 1
(MAT) (Mat)
(B)
(MAT) (Mat)
(B)
Matrix 2), the number of columns in Matrix 1 must match the
1 2 3
4 5 6
−1 −2 0
(MAT) (Det)
(A)
2 matrix is calculated as shown below.
a – a a
11 22 12 21
3 matrix is calculated as shown below.
= a a a + a a a + a
11 22 33 12 23 31
1 2
3 4
5 6
2 2 3 3
2 2 1 1
(A)
(A)
(Mat)
a a – a a a – a
13 21 32 11 23 32 12
2-45
[OPTN]-[MAT]-[Mat]/[Iden]
Matrix B)
[OPTN]-[MAT]-[Det]
a a – a a a
21 33 13 22 31
[OPTN]-[MAT]-[Trn]