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P6 Topic 2: Matrix algebra
3 x 3 inverses and determinants backmore
Enter values into either of the matrices A or B, then select various options. The inverse of matrix A is denoted by A-1. You can swap your matrices around or find out the inverse or determinant. Sometimes the inverse will not exist. What value does the determinant have then?
Use this display to verify that AA-1 = A-1A = I where I is the identity matrix
and that (AB)-1 = B-1A-1

Matrix A :

Matrix B :

Matrix C :
ReArrange
Operations
Determinant

Summary
The inverse of a matrix does not exist if the determinant is zero. Matrices whos determinant is not zero are called non-singular. Otherwise they are singular.
JavaScript interactive pages based on the Java Script Linear Algebra Calculator by Marcus Kazmierczak