[線代] orthogonal complement
find the orthogonal complement of the subspace of R^3 spanned by
(1, 2, 1)^T and (1, -1, 2)^T
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我這樣寫
[a] [1] [a] [ 1]
<[b],[2]> = 0 <[b],[-1]> = 0
[c],[1] [c] [ 2]
解聯立 c = 3b
[ a] [1] [0]
span{[ b]} => span{[0], [1]}
[3b] [0] [3]
解答是(-5, 1, 3)^T
請問我是什麼地方錯了?
謝謝!!
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