Unformatted text preview: y } is a basis for a subspace S of R n , then { ~x, perp ~x ~ y } is an orthogonal set which spans S . 6. Prove that the solution set of the system a 11 x 1 + a 12 x 2 + ··· + a 1 n x n = 0 . . . . . . = . . . a m 1 x 1 + a m 2 x 2 + ··· + a mn x n = 0 of m linear equations in n variables is a subspace of R n . 1...
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 Winter '10
 cormack
 Linear Algebra, perpv u.

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