Let S = (v1, v2, ( ( ( ( vk} be a basis for a subspace V

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Let S = (v1, v2, ( ( ( ( vk} be a basis for a subspace V of Rn that is obtained by the method of Example 1. If
Let S = (v1, v2, ( ( ( ( vk}

Belongs to V and the leading 1's in the reduced row echelon form from the method in Example 1 occur in columns j1, j2, ( ( ( ( jk then show that
v = (j1 v1, + (j2 v2 + ( ( ( + (jk vk.

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