Question: Suppose that {v1, v2, ( ( ( ( vn} is a linearly independent set of vectors in Rn and let A be a singular matrix.

Suppose that {v1, v2, ( ( ( ( vn} is a linearly independent set of vectors in Rn and let A be a singular matrix. Prove or disprove that {Av1, Av2, ( ( ( ( Avn} is linearly independent.

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