(c) If A is both symmetric and skew symmetric then show that A = 0. (A...
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(c) If A is both symmetric and skew symmetric then show that A = 0. (A matrix A is symmetric if AT = A and a matrix A is skew symmetric if A² = -A.) (10 points) (d) Suppose A is a square matrix. Show that A - A is skew symmetric. (10 points) (c) If A is both symmetric and skew symmetric then show that A = 0. (A matrix A is symmetric if AT = A and a matrix A is skew symmetric if A² = -A.) (10 points) (d) Suppose A is a square matrix. Show that A - A is skew symmetric. (10 points)
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