Casio fx-9750GII User Manual page 85

• 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.
–1 –1
A A = A A = E =
The following shows the formula used to invert Matrix A into inverse matrix A
a b
A =
c d
1
–1
A =
ad – bc
Note that ad – bc
Squaring a Matrix
Example To square the following matrix:
Matrix A =
Raising a Matrix to a Power
Example To raise the following matrix to the third power:
Matrix A =
• For matrix power calculations, calculation is possible up to a power of 32766.
Determining the Absolute Value, Integer Part, Fraction Part, and Maximum
Integer of a Matrix
Example To determine the absolute value of the following matrix:
Matrix A =
1 0
0 1
d –b
–c a
0.
1 1 2 2
3 3 4 4
(MAT) (Mat)
1 1 2 2
3 3 4 4
(MAT) (Mat)
1 1 –2 –2
–3 –3 4 4
( ) (NUM) (Abs)
(MAT) (Mat)
2-47
(A)
(A)
[OPTN]-[NUM]-[Abs]/[Frac]/[Int]/[Intg]
(A)
–1
.
x
2
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