Question: Consider the following diagonal matrix: a. Is this matrix dense or sparse? Is it symmetric? b. Compute and report the eigenpairs of this matrix. Show

Consider the following diagonal matrix: a. Is this matrix dense or sparse? Is it symmetric? b. Compute and report the eigenpairs of this matrix. Show work for at least one. Give an short explanation for why you do not need to show work for all. c. By hand, compute and report the Frobenius, Operator, and Nuclear norms of this matrix. (Math does not have to be shown if proper justification can be given for its absence) d. Compare the largest eigenvalue in part b to the operator norm in part c. Are they equal? Why or why not

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