Matrix Inversion; Squaring A Matrix - Casio fx-9860G AU User Manual

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Matrix Inversion

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Example To invert the following matrix :
Matrix A =
K2(MAT)1(Mat)
av(A)!) (
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Squaring a Matrix

○ ○ ○ ○ ○
Example To square the following matrix :
Matrix A =
K2(MAT)1(Mat)av(A)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 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.
2-8-19
Matrix Calculations
1 2
3 4
x –1 ) w
1 2
3 4
# A matrix being inverted must satisfy the
conditions shown below.
A A
The following shows the formula used to
invert Matrix A into inverse matrix A
A =
A
20050401
[OPTN]-[MAT]-[x
[OPTN]-[MAT]-[x
1 0
–1 = A –1 A = E =
0 1
a b
c d
1
d –b
–1
=
ad – bc
–c a
Note that ad – bc
–1 ]
2
]
–1 .
0.