User's Manual

20070201
u Determinant [OPTN] - [MAT] - [Det]
Example Obtain the determinant for the following matrix :
Matrix A =
1 2 3
4 5 6
−1 −2 0
K 2 (MAT)3 (Det)1 (Mat)
av (A)w
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
K 2 (MAT)4 (Trn)1 (Mat)
av (A)w
2-8-18
Matrix Calculations
# 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.
# The determinant of a 3 × 3 matrix is calculated
as shown below.
| A | =
a
11
a
12
=a
11
a
22
–a
12
a
21
a
21
a
22
= 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| =