(b) Let A be an x n normal matrix, and let A1,... , An be the eigenvalues of A. Let H = AA* +5A. Express the eigenvalues of H in

terms of those of A, and explain your answer. (c) Why are the answers under (a) and (b) not in conflict with one another? \begin{aligned} &\text { Let } A=\left(\begin{array}{ll} 1 & 1 \\ 0 & 0 \end{array}\right) \text { . What are the eigenvalues of } A ? \text { What are the eigenvalues of }\\ &H=A A^{*}+5 A ? \end{aligned}