Question: Suppose v1.......vn span a subspace V Rm. Prove that w is orthogonal to V if and only if w coker A where A

Suppose v1.......vn span a subspace V ⊂ Rm. Prove that w is orthogonal to V if and only if w ∊ coker A where A = (v1 v2 . . . vn) is the matrix with the indicated columns.

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