The Inverse of a Square Matrix
Invertible/Nonsingular Matrix - any matrix that has an inverse
Singular Matrix - any matrix that does not have an inverse; either a non-square matrix or a square matrix with a determinant of 0 (he
An invertible matrix multiplied by its inverse will produce the identity matrix, a square matrix that is indicated by I and has 1s along the diagonal from the top-left corner of the matrix to the bottom-right corner along with 0s in all other spots.
To show that two matrics are inverses, you should multiply them and produce the identity matrix.
A and B are inverses.
- To find the inverse of a 2x2 matrix, use the following equation:
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where is derived from the original matrix
Click Here for a video that explains and works out some inverse matrices problems.
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