User Manual

2-46
• 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.
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) av (A) w
u Reduced Row Echelon Form [OPTN] - [MAT] - [Rref]
This command finds the reduced row echelon form of a matrix.
Example To find the reduced row echelon form of the following matrix:
Matrix A =
1 2 3
4 5 6
1 2 3
4 5 6
2 −1 3 19
1 1 −5 −21
0 4 3 0
2 −1 3 19
1 1 −5 −21
0 4 3 0