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u Determinant [OPTN]-[MAT] -[Det]
Example Obtain the determinant for the following matrix:
Matrix A =
1 2 3
4 5 6
−1 −2 0
K2(MAT)3(Det)1(Mat)
a1(A-E)1(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| =
u Matrix Transposition [OPTN]-[MAT] -[Trn]
A matrix is transposed when its rows become columns and its columns become rows.
Example To transpose the following matrix:
Matrix A =
1 2
3 4
5 6
K2(MAT)4(Trn)1(Mat)
a1(A-E)1(A)w
u Row Echelon Form [OPTN]-[MAT] -[Ref]
This command uses the Gaussian elimination algorithm to find the row echelon form of a
matrix.
Example To find the row echelon form of the following matrix:
Matrix A =
K2(MAT)6(g)4(Ref)
6(g)1(Mat)a1(A-E)1(A)w
1 2 3
4 5 6
1 2 3
4 5 6