2-8-18

Matrix Calculations

uDeterminant

 

 

 

 

 

 

[OPTN]-[MAT]-[Det]

Example

Obtain the determinant for the following matrix :

 

 

 

1

2

3

 

 

 

Matrix A =

4

5

6

 

 

 

 

 

−1 −2

0

 

 

 

 

 

 

 

 

K2(MAT)3(Det)1(Mat)

 

av(A)w

 

 

 

 

 

 

 

 

 

 

 

uMatrix Transposition

 

 

 

 

 

[OPTN]-[MAT]-[Trn]

A matrix is transposed when its rows become columns and its columns become rows.

Example

To transpose the following matrix :

12

Matrix A = 3 4

56

K2(MAT)4(Trn)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 =

 

a11

a12

 

= a11a22 – a12a21

 

a22

 

 

 

a21

 

#The determinant of a 3 3 matrix is calculated as shown below.

a11 a12 a13

A = a21 a22 a23

a31 a32 a33

=a11a22a33 + a12a23a31 + a13a21a32

a11a23a32 – a12a21a33 – a13a22a31

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