Question: 2. The matrix exponential is defined by exp ( X ) = for X a square matrix and where X to the power zero is

2. The matrix exponential is defined by exp ( X ) = for X a square matrix and where X to the power zero is equal to the identity matrix. (a) Compute X* for when X is equal to each of the following matrices fork = 1,2,3, ... 0 0 (b) Hence, find the exponential of each of the four matrices above. (c) Find exp(M) for M given above in (1)

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