User Manual

2-49
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)
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| =
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)
av(A)w
• The “Trn” command can be used with a vector as well. It converts a 1-row ×
n-column vector
to an n-row × 1-column vector, or an m-row × 1-column vector to a 1-row × m-column vector.