MATH 520 — REVIEW FOR FINAL EXAM
MATH 520 — REVIEW FOR FINAL EXAM
MATH 520 — REVIEW FOR FINAL EXAM
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19. Which of the matrices described below are diagonalizable? Assume that each matrix<br />
is n×n .<br />
(a) projection<br />
(b) permutation<br />
(c) real symmetric<br />
(d) real orthogonal<br />
(e) real anti-symmetric<br />
(f) unitary<br />
(g) Hermitian<br />
(h) skew-Hermitian<br />
(i) A + I where A is diagonalizable.<br />
(j) A −1 where A is diagonalizable and invertible.<br />
(k) A 2 where A is diagonalizable.<br />
(l) I + A + A 2 where A is diagonalizable.<br />
(m) A + B where A and B are diagonalizable.<br />
(n) AB where A and B are diagonalizable.<br />
(o) AB where A and B are real orthogonal.<br />
(p) A + B where A and B are Hermitian.<br />
(q) upper triangular.<br />
(r) A where A 2 = A.<br />
(s) F AF −1 where A is diagonalizable and F is invertible.<br />
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