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.

A A–1= A–1A = 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 ξ 0.

SSquaring a Matrix

 

 

[x2]

Example

To square the following matrix:

 

Matrix A =

 

1

2

 

 

 

 

 

 

 

4

 

 

 

 

 

3

 

 

 

 

 

 

 

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

SRaising a Matrix to a Power

[^]

Example

To raise the following matrix to the third power:

 

Matrix A =

 

1

2

 

 

 

 

 

 

 

4

 

 

 

 

 

3

 

 

 

 

 

 

 

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

,BU

• For matrix power calculations, calculation is possible up to a power of 32766.

SDetermining the Absolute Value, Integer Part, Fraction Part, and Maximum
Integer of a Matrix

 

 

[OPTN]-[NUM]-[Abs]/[Frac]/[Int]/[Intg]

Example

To determine the absolute value of the following matrix:

 

Matrix A =

 

1

–2

 

 

 

 

 

 

 

 

4

 

 

 

 

 

–3

 

 

 

 

 

 

 

*(E)(NUM)(Abs)

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

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