Find the orthogonal projection of onto the subspace W of R¹ spanned by projw (v) = 4 > 5 -19 -6 -6 and -2 -4

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A: Let AX=0 213-1320-2319-1x1x2x3x4=000R2→R2-32R1 , R3→R3-32R1…

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Q: Find the orthogonal projection of onto the subspace W of R4 spanned by projw() = -9 -4 -8 8 20 NHAW…

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Q: Find the closest point to y in the subspace W spanned by V₁ and V₂ 2 2 - 1 y= a. 3/6 -2/6 丽··· -1/6…

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A: This answer is given below.Explanation:

Q: Find the orthogonal projection of onto the subspace W of R4 spanned by projw (v) = - C 12 = 0 2 0

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Q: 2. Let P3(R) be the vector space of all polynomials of degree 3 or less (and the zero polynomial).…

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Q: 1 :) Given v = -2 -5 -0 and 2 -16 6 -9 4 -4 0 -6 4 find the closest point to v in the subspace W…

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Q: Find the orthogonal projection of the vector [ 49 49 49] onto the subspaces of R3 spanned by [2 3…

A: We have to find the orthogonal projection of the vector  onto the subspace of  spanned by  and .

Q: Show that the set            W={(a,b,c):a-3b+4c=0}  is a subspace of the 3-tuple space…

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Q: Find the orthogonal projection of 0 0 -9 0 onto the subspace V of Rª spanned by -1 -1 -1 proj, (v) =…

A: Let V be the vector space spanned by v1,v2,v3,.....vn. The projection of v onto V is obtained as,…

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Q: Show that the set T= {(a, b, c, d): 2a-3b+Sc-d=0} is a subspace of R'.

A: Given T=abcd∈ℝ4:2a-3b+5c-d=0 Let A be a 1×4 matrix defined by: A=2-35-1 Then the equation…

Q: Find the orthogonal projection of onto the subspace W of R4 spanned by projw() = TT +-18]

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Q: Find the orthogonal projection of onto the subspace W of R4 spanned by projw() = --B 7 010

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Q: 5). Find an approximate value of y(0.8) for the initial value problem -√√x+y.y(0.4)-0.41 Using the…

A: y'=x+yy0.4=0.41h=0.2

Q: Find the orthogonal projection of onto the subspace W of R4 spanned by projw (7) 0 -8 v= 0 0·00 ||

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Q: 0 Find the orthogonal projection of 0 onto the subspace of R4 spanned by 121 2 and 20

A: To find the orthogonal projection of the vector onto subspace first check the subspace spanned by…

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Q: Consider the subspaces U = span{[1_5_3],[-4 3 -1]} W = span{[_4_2_-4],[-18_0−16]} 1x3. Find a matrix…

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Q: Find the orthogonal projection of onto the subspace W of R4 spanned by projw (v) = 16 -20 -6 = 16 9…

A: We have to find the orthogonal projection of onto the subspace W of R4 spanned by Let v1 = and v2 =…