111
Example To invert the following matrix :
Matrix A =
12
34
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 =
10
01
• The following shows the formula used to invert Matrix A into inverse matrix A
–1
.
A =
ab
cd
A
–1
=
1
d –b
ad – bc
–c a Note that ad – bc
G
0.
kk
kk
k Squaring a Matrix
The following is the format for squaring a matrix.
Matrix
Mat A
xw
Mat Z
MatAns
1 23456
Matrix Calculations 6 - 4