Let B ={A1, A2, ..., An}⊆Mmn, and write B′ ={A^T 1, A^T 2, ..., A^T n}⊆Mnm....

Let B ={A1, A2, ..., An}⊆Mmn, and write B′ ={A^T 1, A^T 2, ..., A^T n}⊆Mnm. Show that:

a. B is independent if and only if B′ is independent.

b. B spans Mmn if and only if B′ spans Mnm.

Expert Solution

Colby Messinger answered 6 months ago

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