U matrix inversion, U squaring a matrix – Casio SERIES FX-9860G User Manual

Page 140

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u Matrix Inversion

[

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

[

x

2

]

Example

To square the following matrix:

Matrix A =

1 2

3 4

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

2-8-20

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

.

Note that ad – bc

≠ 0.

A A

–1

= A

–1

A = E =

1 0

0 1

A =

a b

c d

A

–1

=

1

ad – bc

d –b

–c

a

20080201

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