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4. If x is orthogonal to u and v, shov.r that x is orthogonalto u+v. l 6 5. Consider the vectors V1 = [3] and
4. If x is orthogonal to u and v, shov.r that x is orthogonalto u+v. l 6 5. Consider the vectors V1 = [3] and v1 = [ 2 :|, which are orthogonal vectors. a. Express 3 = E] as a linear combination of VI and v2. b. Use v1 and v2 to produce an orthonormal basis for E12. 1 l 6. Consider the vectors I11 = 1 and 112 = 3 , let W be the subspace spanned by ll1 and 112. l 2 a. Verify that ll1 and 112 are orthogonal. l b. Find the point in W that is closest to y = 4 3 c. Write y from part (b) as the sum of a vector in W and a vector orthogonal to W
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