beautypg.com

Kmatrix transposition – Casio fx-9750G PLUS User Manual

Page 122

background image

94

Example

Obtain the determinant for the following matrix :

1

2

3

Matrix A =

4

5

6

–1 –2

0

3

(Det)1(Mat)aAw

• 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

12

a

13

| A | =

a

21

a

22

a

23

a

31

a

32

a

33

= 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

k

k

k

k

k

Matrix Transposition

A matrix is transposed when its rows become columns and its columns become
rows. The following is the format for matrix transposition.

Matrix

Mat A

4

(Trn)

w

Mat Z
MatAns

Example

To transpose the following matrix :

1

2

Matrix A =

3

4

5

6

4

(Trn)1(Mat)aAw

6 - 4

Matrix Calculations

This manual is related to the following products: