Additional notes on linear algebra |
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© Leon van Dommelen |
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8 Finding inverses using minors
Note: if you are required to find an inverse using GE in this class,
do not use any minors, even on matrices.
Note: If a matrix is orthonormal, its inverse must be found
using a transpose in this class.
In this class, if you need to find an inverse matrix using the method
of minors,
- Write the transpose matrix.
- Form a matrix of the minors of each of the elements of the
transpose matrix, with a checkerboard sign pattern. (Positive
on the main diagonal.)
- Divide by the determinant.
- Evaluate.