A square matrix is called skew-symmetric if A" = -A. a) Let M = |" be a 2 x 2 matrix. Give condition on a, b, c and d such that M is skew-symmetric. b) If M and N are two skew-symmetric 2 x 2 matrices, under what condition is MN skew-symmetric? Га b -C

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.3: The Inverse Of A Matrix
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A square matrix is called skew-symmetric if A" = -A.
a) Let M = |" be a 2 x 2 matrix. Give condition on a, b, c and d such that M is
skew-symmetric.
b) If M and N are two skew-symmetric 2 x 2 matrices, under what condition is MN
skew-symmetric?
Га b
-C
Transcribed Image Text:A square matrix is called skew-symmetric if A" = -A. a) Let M = |" be a 2 x 2 matrix. Give condition on a, b, c and d such that M is skew-symmetric. b) If M and N are two skew-symmetric 2 x 2 matrices, under what condition is MN skew-symmetric? Га b -C
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