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Ksquaring a matrix – Casio fx-9750G Matrix Calculations User Manual

Page 21

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Example

To invert the following matrix :

Matrix A =

1

2

3

4

1

(Mat)

aA!X

w

This operation produces the following result.

A

–1

=

–2

1

1.5 –0.5

• Only square matrices (same number of rows and columns) can be inverted. Try-

ing to invert a matrix that is not square produces an error (Dim ERROR).

• A matrix with a value of zero cannot be inverted. Trying to invert a matrix with

value of zero produces an error (Ma ERROR).

• Calculation precision is affected for matrices whose value is near zero.

• A matrix being inverted must satisfy the conditions shown below.

A A

–1

= A

–1

A = E =

1

0

0

1

• The following shows the formula used to invert Matrix A into inverse matrix A

–1

.

A =

a

b

c

d

A

–1

=

1

d

–b

ad – bc

–c

a

Note that ad – bc

G

0.

k

k

k

k

k

Squaring a Matrix

The following is the format for squaring a matrix.

Matrix

Mat A

x

w

Mat Z
MatAns

1

2 3 4 5 6

Matrix Calculations

6 - 4