20070201
u
Matrix Inversion
[OPTN]
-
[MAT]
-
[
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
[OPTN]
-
[MAT]
-
[
x
2
]
Example
To square the following matrix :
Matrix A =
1 2
3 4
K
2
(MAT)
1
(Mat)
av
(A)
xw
2-8-19
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
Summary of Contents for CFX-9850GB PLUS
Page 19: ...20070201 4 Contents Appendix 1 Error Message Table α 1 1 2 Input Ranges α 2 1 ...
Page 335: ...20070201 u Input Example u Results 6 5 25 Tests ...
Page 361: ...20070201 Calculation Result Output Example p F distribution probability 6 7 15 Distribution ...
Page 435: ...20070201 8 8 2 Program Library egcw w ww w ...
Page 437: ...20070201 8 8 4 Program Library Example 1 Example 2 fw fw baw baw bf ca w w ...
Page 439: ...20070201 8 8 6 Program Library d wba wb w w ...
Page 441: ...20070201 8 8 8 Program Library dw fcde fcde w wfcde daw wfcde w ...
Page 443: ...20070201 8 8 10 Program Library b awaw bwaw aw x d w ...
Page 591: ...20070201 Appendix 1 Error Message Table 2 Input Ranges α ...
