Casio fx-9750G PLUS - Manual (Page 123)

95
k k k k k Matrix Inversion
Matrix
Mat A
!X w
Mat Z
MatAns
Example To invert the following matrix :
Matrix A =
1 2
3 4
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 –1 A = E =
1 0
0 1
• The following shows the formula used to invert Matrix A into inverse matrix
A –1 .
A =
a b
c d
A –1 =
1 d –b
ad – bc –c a Note that ad – bc G 0.
Matrix Calculations
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