Let's say that I have a linearly independent set of vectors $V=\{V_1,...,V_n\}$ on a vector space $W$. Performing Gram-Schmidt orthonormalization on V vectors I get the set of vectors $U=\{U_1,...U_n\}$. How can I show that these two sets, in fact, span the same subspace of $W$?
2026-03-26 14:26:32.1774535192
Showing that two sets span the same subpace
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