2-47
• 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
–1
A = 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
ad – bc
d –b
–c
a
Note that ad – bc
x
0.
S
Squaring a Matrix
[
x
2
]
Example To square the following matrix:
Matrix A =
*
(MAT)
(Mat)
?T
(A)
VU
S
Raising a Matrix to a Power
[^]
Example To raise the following matrix to the third power:
Matrix A =
*
(MAT)
(Mat)
?T
(A)
,
B
U
• For matrix power calculations, calculation is possible up to a power of 32766.
S
Determining 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 =
*
(
E
)
(NUM)
(Abs)
*
(MAT)
(Mat)
?T
(A)
U
1
2
3
4
1
2
3
4
1
2
3
4
1
2
3
4
1
–2
–3
4
1
–2
–3
4
Summary of Contents for FX-7400GII
Page 337: ...E CON2 Application ...
