Casio ALGEBRAFX20

User Manual - Page 120

For ALGEBRAFX20.

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19990401
uMatrix Inversion [OPTN]-[MAT]-[x
–1
]
○○○○○
Example To invert the following matrix :
Matrix A =
12
34
K2(MAT)b(Mat)
av(A)!) (x
–1
)
w
uSquaring a Matrix [OPTN]-[MAT]-[x
2
]
○○○○○
Example To square the following matrix :
Matrix A =
12
34
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
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