S matrix arithmetic operations, S determinant, S matrix transposition – Casio FX-9750GII User Manual

Page 83

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S Matrix Arithmetic Operations

[OPTN]-[MAT]-[Mat]/[Iden]

Example 1 To add the following two matrices (Matrix A + Matrix B):

*(MAT)(Mat)?T(A)

(Mat)?J(B)U

Example 2 To multiply the two matrices in Example 1 (Matrix A

s Matrix B)

*(MAT)(Mat)?T(A)

(Mat)?J(B)U

• The two matrices must have the same dimensions in order to be added or subtracted. An

error occurs if you try to add or subtract matrices of different dimensions.

• For multiplication (Matrix 1

s Matrix 2), the number of columns in Matrix 1 must match the

number of rows in Matrix 2. Otherwise, an error occurs.

S Determinant

[OPTN]-[MAT]-[Det]

Example Obtain the determinant for the following matrix:

Matrix A =

1 2

3

4 5

6

−1 −2

0

*(MAT)(Det)(Mat)

?T(A)U

• 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

s 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

s 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 | =

S 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

A =

1

1

2

1

2

3

2

1

B =

A =

1

1

2

1

2

3

2

1

B =

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