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Matrix inversion, Squaring a matrix – Casio fx-9860G SD User Manual

Page 136

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20050401

u

Matrix Inversion

[OPTN]-[MAT]-[x

–1

]

○ ○ ○ ○ ○

Example

To invert the following matrix :

Matrix A =

1

2

3

4

K

2(MAT)1(Mat)

av(A)!) (

x

–1

)

w

u

Squaring a Matrix

[OPTN]-[MAT]-[x

2

]

○ ○ ○ ○ ○

Example

To square the following matrix :

Matrix A =

1

2

3

4

K

2(MAT)1(Mat)av(A)xw

2-8-19

Matrix Calculations

# 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 determinant of zero cannot be

inverted. Trying to invert a matrix with
determinant of zero produces an error.

# Calculation precision is affected for matrices

whose determinant is near zero.

# A matrix being inverted must satisfy the

conditions shown below.

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

–1

.

A A

–1

= A

–1

A = E =

1 0

0 1

A =

a b

c d

Note that ad – bc

0.

A

–1

=

1

ad – bc

d –b

–c

a

G