Mjollnir

Inverse Demo

Choose the size of the matrix to invert:

Complete the cells of the matrix A:



The fully augmented matrix:

The matrix inverse A-1:

The matrix inverse times the original matrix (A-1 • A):

The matrix inverse times the original matrix times the matrix inverse(A-1 • A • A-1):

If this worked as expected, the above matrix should be equivalent to the inverse calculated above. This matrix and the following one should confirm the left-hand and right-hand inverse properties of the inverse.

The original matrix times matrix inverse times the original matrix (A • A-1 • A):

If this worked as expected, the above matrix should be equivalent to the original (perhaps with some roundoff error).

Identity minus the matrix inverse times the original matrix (I - A-1 • A):

The original matrix times the (Identity minus the matrix inverse times the original matrix) A • (I - A-1 • A):

If this worked as expected, the resulting matrix should be identically zero.

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