Let V be the two-dimensional subspace of R4 spannedby (0, 1, 0, 1) and (0, 2, 0, 0)

Chapter 5, Problem 54

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Let V be the two-dimensional subspace of \(R^{4}\) spanned by (0, 1, 0, 1) and (0, 2, 0, 0). Write the vector \(\mathbf{u}=(1,1,1,1)\) in the form \(\mathbf{u}=\mathbf{v}+\mathbf{w}\), where \(\mathbf{v}\) is in V and \(\mathbf{w}\) is orthogonal to every vector in V.

Text Transcription:

R^4

u = (1, 1, 1, 1)

u = v + w

v

w

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