Question: 1. For each property listed below, find 3 x 3 matrices, A, B, C - none may be the identity matrix and none may be

1. For each property listed below, find 3 x 3 matrices, A, B, C - none may be the identity matrix and none may be the zero matrix - such that the given property holds. Justify your answers by showing the calculation results. (Your A, B, and C matrices may be different for each part of this question.) o ABBA o AB = BA but A * B o AB = AC but B * C o AB is the zero matrix, but neither A nor B is the zero matrix 2. Solve the following system of linear equations by determining the inverse of the coefficient matrix and using matrix multiplication. Make sure you clearly show me the process you used for finding the inverse. 2x1 - 2x2 = 2 x1 + x2 + 2x3 = 2 X1 + 2x2 + x3 = 0
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