# 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 ${\displaystyle \mathbb {R} ^{4}}$ spanned by the vectors ${\displaystyle v_{1}=(1,1,1,1),}$ ${\displaystyle v_{2}=(1,2,4,5),}$ and ${\displaystyle v_{3}=(1,-3,-4,-2).}$

Use the Gram-Schmidt process to find an orthonormal basis ${\displaystyle w_{1},w_{2},w_{3}}$ for V.

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