CAPSTONE Consider the matrix below.A

Chapter 7, Problem 7.3.58

(choose chapter or problem)

CAPSTONE Consider the matrix below.A =[1010101010101010101010101](a) Is A symmetric? Explain.(b) Is A diagonalizable? Explain.(c) Are the eigenvalues of A real? Explain.(d) The eigenvalues of A are distinct. What are thedimensions of the corresponding eigenspaces?Explain.(e) Is A orthogonal? Explain.(f) For the eigenvalues of A, are the correspondingeigenvectors orthogonal? Explain.(g) Is A orthogonally diagonalizable? Explain.

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