Using least squares, find the orthogonal projection of u onto the subspace of R4 spanned by...

Using least squares, find the orthogonal projection of u onto the subspace of R⁴ spanned by the vectors v₁, v₂, and v₃, where

u = (6, 3, 9, 6), v₁ = (2, 1, 1, 1), v₂ = (1, 0, 1 ,1), v₃ = (-2, -1, 0, -1).

Expert Solution

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milcah answered 2 years ago

2a. Find the orthogonal projection of [9,40,-29,4] onto the subspace of R4 spanned by [1,6,5,6] and...

2a. Find the orthogonal projection of [9,40,-29,4] onto the subspace of R4 spanned by [1,6,5,6] and [5,1,5,5]. Answer choices: [2,14,-15,7] [-32,13,-10,7] [0,9,12,6] [-5,-2,3,2] [-12,0,-9,-9] [-16,20,0,4] [27,29,29,21] [-3,1,2,7] [-23,7,-3,-9] [-15,5,-15,30] 2b. Find the orthogonal projection of [17,18,-10,24] onto the subspace of R4 spanned by [2,7,1,6] and [3,7,3,4]. Answer choices: [-34,-22,-29,-34] [-6,4,-2,0] [-12,36,21,33] [3,21,-3,24] [7,-14,-12,1] [5,3,32,45] [14,32,12,11] [9,13,18,11] [20,2,-3,19] [-2,-6,1,-7]

Let W be a subspace of R^n, and P the orthogonal projection onto W. Then Ker...

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