We say a matrix A is symmetric if A = AT and we say that A is skew-symmetric if A = −AT . Suppose A is skew-symmetric and show that A2 is symmetric.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.2: Addition And Subtraction Of Matrices
Problem 13E
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We say a matrix A is symmetric if A = AT and we say that A is skew-symmetric
if A = −AT . Suppose A is skew-symmetric and show that A2 is symmetric.
 
 
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