1. Consider the matrices
4- 3 6 0 2 3 C - 2 2 3 1) 4 0 1 2 -3 - 0 A - 0 I 0 0
Calculate, where possible:
2. Give an example of two 2x2 matrices Xand Y such that XY 6= YX.
3. Give an example of two 2x2 matrices Xand Y such that XY=0, but the entries of X and Y are all non-
F = 3 1 -2
4. Find the determinant and the inverse of the following matrix:
G - I
Find a general expression for G".
Calculate G, G2,G³, and look for a pattern.
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