Question: In Problems 21 through 24, show that the matrix A is nilpotent and then use this fact to find (as in Example 3) the matrix

In Problems 21 through 24, show that the matrix A is nilpotent and then use this fact to find (as in Example 3) the matrix exponential eAt.

A = 3 0 5 0 3 0 -3 7 -3

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A = 3 0 5 0 3 0 -3 7 -3

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