Question: Suppose A. B: V V are linear transformations and dim(V) = n. Show that rank(A) + rank (B) rank(AB) + n.

Suppose A. B: V V are linear transformations and dim(V) = n.

Suppose A. B: V V are linear transformations and dim(V) = n. Show that rank(A) + rank (B) rank(AB) + n.

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To prove the inequality rankA rankB rankAB n we will use the following facts The rank of a matrix A ... View full answer

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