Science:Math Exam Resources/Courses/MATH221/December 2007/Question Section 102 10 (a)

MATH221 December 2007

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Question Section 102 10 (a)
Let V denote the subspace of $\mathbb {R} ^{4}$ spanned by the vectors $v_{1}=(1,1,1,1),$ $v_{2}=(1,2,4,5),$ and $v_{3}=(1,-3,-4,-2).$ Use the Gram-Schmidt process to find an orthonormal basis $w_{1},w_{2},w_{3}$ for V.

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Hint

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Solution
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