Casio FX-9860G [x2], [x–1], Example, Matrix A, Matrix A, K2(MAT)1(Mat), av(A)!)(x–1)w, uMatrix Inversion, uSquaring a Matrix, Matrix Calculations, K2(MAT)1(Mat)av(A)xw

	2-8-20
	Matrix Calculations
uMatrix Inversion		[x–1]
Example	To invert the following matrix:

1 2

Matrix A =

3 4

K2(MAT)1(Mat)av(A)!)(x–1)w

uSquaring a Matrix	[x2]
Example To square the following matrix:

1 2

Matrix A =

3 4

K2(MAT)1(Mat)av(A)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 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.

A A–1= A–1A = 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 ≠ 0.

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