Given the following vectors:
How is the orthonormalised basis of the span{v1, v2, v3} calculated? Given it is linearly dependent do you just need to work out the orthonormalised basis of the span {v1,v2}?
2026-04-01 02:36:13.1775010973
Orthonormalized basis of linearly dependent system
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Yes, since $\text{Span} \{v_1, v_2, v_3 \} = \text{Span}\{v_1, v_2 \}$, you can orthonormalize the set $\{v_1, v_2 \}$ using the Gram-Schmidt process with normalization.