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Kmatrix inversion – Casio fx-9750G PLUS User Manual

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Matrix Inversion

Matrix

Mat A

!X

w

Mat Z
MatAns

Example

To invert the following matrix :

Matrix A =

1

2

3

4

1

(Mat)aA!Xw

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

Trying to invert a matrix that is not square produces an error.

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

value of zero produces an 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.

Matrix Calculations

6 - 4

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