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For X,Y ∈ R^(n×n). There exists A ∈ R^(n×n) such that XA = Y if and...

For X,Y ∈ R^(n×n). There exists A ∈ R^(n×n) such that XA = Y if and only if the column space of Y is a subspace of the column space of X. Is this statement true or not, prove your answer.

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