Question: Right-multiplication by an elementary matrix E affects the columns of A in the same way that left-multiplication affects the rows. Use Theorems 5 and 3

Right-multiplication by an elementary matrix E affects the columns of A in the same way that left-multiplication affects the rows. Use Theorems 5 and 3 and the obvious fact that ET is another elementary matrix to show that
det AE = (det E) (det A?

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By Theorem 5 det AE det AE T Since AE T E T A T det A... View full answer

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