A square matrix A is said to be idempotent if A2 = A. Let A be an idempotent matrix.
(a) Show that I - A is also idempotent.
(b) Show that if A is invertible, then A = I.
(c) Show that the only possible eigenvalues of A are 0 and 1. (Hint: Suppose x is an eigenvector with associated eigenvalue A and then multiply x on the left by A twice.)
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The lowest eigen value of the matrix [4 2
1 3]
https://brainly.in/question/38904041
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