This exercise relates the singular values of a well-behaved linear operator or matrix to its eigenvalues. (a) Let T be a normal linear operator on an n-dimensional inner product space with eigenvalues λ1, λ2, . . . , λn. Prove that the singular values of T are |λ1| |λ2|, . . . , |λn|. (b) State and prove a result for matrices analogous to (a).

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A: Please see the below picture for detailed solution.

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Q: , then the Eigen vectors X of matrix A are: A) [-1,1]":[1,0]" F) [0,1]":[1,0]7 H) [4,1]":[0,1]"

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