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95
kk
kk
k Matrix Inversion
Matrix
Mat A
!X w
Mat Z
MatAns
Example To invert the following matrix :
Matrix A =
12
34
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 =
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.
Matrix Calculations 6 - 4
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