To prove an inverse matrix, we must multiply two matrices together. If their products form an identity matrix, then the two matrices are inverses to one another. If not, then Matrix B is not an inverse to Matrix A.
An identity matrix is one containing all 1's on the main diagonal and 0's everywhere else in the matrix. We can only solve for inverse and identity matrices if the matrices we are working with are perfect squares (example: 2 x 2 matrix or 3 x 3 matrix).
More practice on this tomorrow!
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