Prove that a 3 by 3 determinant in which the entries in column 1 equal those in column 3 has the value 0.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
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Prove that a 3 by 3 determinant in which the entries in column 1 equal those in column 3 has the value 0.

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