(Solution) - Let S be the subspace of R3 spanned by the -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Let S be the subspace of R3 spanned by the vectors x = (x1, x2, x3)T and y (y1,y2, y3)T. Let

Show that S? = N(A).
(b) Find the orthogonal complement of the subspace of R3 spanned by (1, 2, l)T and (1,-1,2)T.