2.6. Find the distance from a vector (1, 2, 3, 4) to the subspace spanned by the vectors v₁ = (1,-1, 1, 0)² and v₂ = (1,2,1,1) (note that v₁v₂). Can you find the distance without actually computing the projection? That would simplify the calculations.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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find
2.6. Find the distance from a vector (1,2,3,4) to the subspace spanned by the
vectors v₁ = (1,-1, 1, 0) and v2 = (1, 2, 1, 1)T (note that v₁v₂). Can you
the distance without actually computing the projection? That would simplify the
calculations.
difer
Transcribed Image Text:find 2.6. Find the distance from a vector (1,2,3,4) to the subspace spanned by the vectors v₁ = (1,-1, 1, 0) and v2 = (1, 2, 1, 1)T (note that v₁v₂). Can you the distance without actually computing the projection? That would simplify the calculations. difer
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