How does matrix rank interact with matrix multiplication? (a) Can the product of rank n matrices have
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(a) Can the product of rank n matrices have rank less than n? Greater?
(b) Show that the rank of the product of two matrices is less than or equal to the minimum of the rank of each factor.
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a The product of rank n matrices can have rank less than or equal to n but not greater than n To see ...View the full answer
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