Question: 7. Let L : V > W be a Linear map with dimv = n, dimW = m, and rank[L} = r. Prove G14 lm

7. Let L : V > W be a Linear map with dimv = n, dimW = m, and rank[L} = r. Prove G14 lm :I that there exists a bases 5 of V and C of W such that ClLl : f f where 11m l ' ' * (1:31,): {1131 = --- = a.\" = 1 and all other entries are i}

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