Monday, February 3, 2014

Inverse Matrices

In both of these examples, I'm attempting to find the inverse of the original given matrix. The idea is that a matrix times it's inverse will equal the identity matrix. The identity matrix is a matrix with all zeroes, but a main diagonal of all 1s. To complete these problems, write the matrix along with an identity matrix in the same box. Then, simplify until the only nonzero numbers are ones on the main diagonal, just like you would do with a normal simplifying matrices problem. The first of these examples didn't work because there was a row of zeroes, so it couldn't be out in the proper form of only ones on the main diagonal. This means that the system is singular, not inversible, and does not have an inverse.

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