Casio fx-9750G PLUS Calculations Manual - Page 17

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Casio fx-9750G PLUS Calculations Manual
k k k k k Matrix Inversion
Matrix
Mat A
Mat Z
MatAns
Example
To invert the following matrix :
Matrix A =
1(Mat)aA!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 value of zero cannot be inverted. Trying to invert a matrix with
value of zero produces an error.
• Calculation precision is affected for matrices whose value is near zero.
• A matrix being inverted must satisfy the conditions shown below.
A A
–1
= A
• The following shows the formula used to invert Matrix A into inverse matrix
–1
A
.
A =
–1
A
=
!X
1
2
3
4
1
0
–1
A = E =
0
1
a
b
c
d
d –b
1
ad – bc
–c
a
Matrix Calculations
w
Note that ad – bc G 0.
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