Let C and D be n x n skew-symmetric matrices. Prove that if CD = – -DC, then CD is a skew-symmetric matrix.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
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Let C and D benxn skew-symmetric matrices. Prove that if CD = -DC, then CD is a
skew-symmetric matrix.
Transcribed Image Text:Let C and D benxn skew-symmetric matrices. Prove that if CD = -DC, then CD is a skew-symmetric matrix.
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