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Why the set {t (v1), t (v2), t (v3)} is linearly dependent

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Let T : Rn → Rm be a linear transformation, and let {v1, v2, v3} be a linearly dependent set in Rn. Explain why the set {T (v1), T (v2), T (v3)} is linearly dependent.

Reference no: EM131065357

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