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Obtaining the Determinant of a Matrix
The det( function can be used to obtain the determinant of a square matrix.
det a
11
= a
11
det = a
11
a
22
– a
12
a
21
a
11
a
12
a
21
a
22
det = a
11
a
22
a
33
+ a
12
a
23
a
31
+ a
13
a
21
a
32
– a
13
a
22
a
31
– a
12
a
21
a
33
– a
11
a
23
a
32
a
11
a
12
a
13
a
21
a
22
a
23
a
31
a
32
a
33
Example: To obtain the determinant of the matrix
1 –2
5 0
.
This example assumes that Mat C contains
1 –2
5 0
.
z
– {MATRIX}
3
(det)
Mat C
)
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A
Transposing a Matrix
Transposing a matrix basically means to change its rows in to columns and its columns into
rows. Calculation is performed using the Trn( function as shown below.
Example: To transpose the matrix
1 2 3
4 5 6
.
This example assumes that Mat B contains
1 2 3
4 5 6
.
z
– {MATRIX}
4
(Trn)
Mat B
)
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A
Inverting a Matrix
You can use the procedure shown below to invert a square matrix.
a
11
–1
=
a
11
1
a
11
a
12
–1
a
21
a
22
a
22
–a
12
–a
21
a
11
a
11
a
22
– a
12
a
21
=