Matrix inversion, Squaring a matrix – Casio ALGEBRA FX 2.0 Manual Calculations User Manual
Page 68
19990401
u
Matrix Inversion
[OPTN]-[MAT]-[x
–1
]
○ ○ ○ ○ ○
Example
To invert the following matrix :
Matrix A =
1
2
3
4
K2(MAT)b(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
K2(MAT)b(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
.
A A
–1
= A
–1
A = E =
1 0
0 1
A =
a b
c d
Note that ad – bc
G 0.
A
–1
=
1
ad – bc
d –b
–c
a