5. Let A E Mmn(F). Prove that v E F™ is in colspace(A) if and only if there exists some vector u e F" with Au = v. This result will be useful for some of the questions below.

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Chapter2: Second-order Linear Odes
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Let A e Mmn(F). Prove that v E F is in colspace(A) if and only
= v. This result will be useful for
5.
if there exists some vector u e F" with Au
some of the questions below.
Transcribed Image Text:Let A e Mmn(F). Prove that v E F is in colspace(A) if and only = v. This result will be useful for 5. if there exists some vector u e F" with Au some of the questions below.
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