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  3. let q be an nxn invertible matrix and {u?, u2,...,

Let Q be an nxn invertible matrix and {u?, U2,..., uk} is a set of...

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Algebra

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Let Q be an nxn invertible matrix and {u?, U2,..., uk} is a set of vectors in R. Prove that {u?, 12,..., uk} is linearly independent if and only if {Qui, Qu?,..., Que} is linearly independent.

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