Let A be an n × n matrix which is not 0 but A2 = 0....

Let A be an n × n matrix which is not 0 but A² = 0. Let I be the identity matrix.

a)Show that A is not diagonalizable.

b)Show that A is not invertible.

c)Show that I-A is invertible and find its inverse.

Expert Solution

Colby Messinger answered 2 years ago

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Question

Let A be an n × n matrix which is not 0 but A2 = 0....

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