14. The matrix A is the same as above. (d) Diagonalize A, if possible. In other words, find a diagonal D and an invertible P such that A = PDP-1. If A is not diagonalizable, explain why not. Show by direct calculation that A2 = A. (e) (f) Give a geometric explanation why A² = A, using the fact that A is the standard matrix of the projection T.

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