In Exercises 8.9 we saw that a nonzero n X n matrix A is nilpotent if mis the smallest
Chapter 10, Problem 30(choose chapter or problem)
In Exercises 8.9 we saw that a nonzero n X n matrix A is nilpotent if mis the smallest positive integer such that Am = 0. Verify that A = ( = ) is nilpotent. Discuss why it -1 1 1 is relatively easy to compute t/'1 when A is nilpotent. Compute t/'1 for the given matrix and then use (2) to solve the system X'=AX.
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