I have the following theorem plus proof, could you please explain this more, I dont understand the proof, I have no idea or grasp on what they're doing and why, so please explain the proof in more detail Theorem : For every linear subspace V of Rn there exists an m ×n matrix A such that V is the null space of A. Moreover, we can choose m = n − dim(V ).
I have the following theorem plus proof, could you please explain this more, I dont understand the proof, I have no idea or grasp on what they're doing and why, so please explain the proof in more detail
Theorem : For every linear subspace V of Rn there exists an m ×n matrix A such that V is the null space of A. Moreover, we can choose m = n − dim(V ).
Proof: Choose a basis of V and write the basis
It follows that: Null(A) = V.
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