Find the orthonormal basis of the subspace Y=lin([1,-2,-3,4,1], [4,3,-2,1,2],[1,-3,2,4,-3],[5,2,3,4,-5]) in the space X=R^5. Using basis Y to find the orthonormal basis of X.

Q: Determine whether the set of vectors is a basis for the subspace of R^n that the vectors span.…

A: a) Suppose that    be  a  basis  of      Then, which is  a  contradiction.    Hence, is  not a…

Q: Show that {₁, ₂} or {₁, ₂, 3) is an orthogonal basis for R² or R³. Find the coordinate of with…

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Q: Find a basis for the subspace of R° that is spanned by the vectors V1 = (1, 0, 0), v2 = (1, 1, O),…

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Q: Consider the system of vectors (1,2, 1, 1)", (0,1,3, 1)", (0,3,2,0)", (0,1,0,0)". a) Prove that it…

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Q: Find a basis of the subspace ofRª defined by the equation 7x1+9x2+ 6x3 + 5x4 = 0. Basis:

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Q: -3 Let v1 = ----- -2 v2 = 1 v3 = -6 3 -3 v3}. Find the basis for H. and the H = span{v1, v2,

A: we are given three vectors  v1=-3-2-3,v2=-21-2,v3=1-63 we have to find the basis for H.

Q: Verify that the vectors (1,0,1), (1,1,-1), es= e₂ = form an orthonormal basis (ONB), and compute the…

A: Given vectors are  .We have to show that these form a orthonormal basis for inner product space…

Q: Find a basis of the linear space V of all 3 x 3 matrices A for which both | - A 1 and are…

A: We have to find the basis of linear space V.

Q: Find a basis for the subspace of R3 spanned by

A: In this question, we find the basis for the span of subspace S. S={(-1,2,5),(3,03), (5,1,8)}

Q: Find a basis for the subspace of R³ that is spanned by the vectors V₁ = (1,0,0), v₂ = (1, 1, 0), v3…

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Q: Use Gram Shmidt Algorithm to build an orthonormal basis beginning from the given basis in R: (1, 1,…

A: First part: We have to find the orthonormal basis of the basis 1,1,1,-2,2,1,1,2,2 using the Gram…

Q: Find all values of a e R such that {(1,2,5), (a, -2,5), (-3,6,5)} forms a linearly independent set…

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Q: orthonormal

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Q: Find an orthonormal basis for the column space of 7 -11 1 -4 -1 0 2

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Q: Use the Gram-Schmidt process to find an orthonormal basis for Span ([2, 1, 2, 4], [0,-1, -2,01¹).

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Q: 3) Let C be a basis that contains vectors (−2 + 1x + 1x2 + (−1) x3), (1 + (−2) x + 4x2 + 2x3), (−2 +…

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Q: Consider a basis for a space given by vectors -5 0 -10 -4 2 -5 -10 0 -10 -2 6 0 Answer the following…

A: answer is in next step. please give a like!!!!

Q: Determine if the set {(1,1, −1), (1, −1,1), (0,0,1)} is a basis of ℝ^3

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Q: What are the spline basis functions for a cubic spline basis with 3 knots at values x1, x2, and x3?

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Q: Find a basis of the subspace of IR defined by the equation 871 - 7x2 - 4x3 = 0. Basis:

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Q: There are four vectors (1,a,b,c), (1,1,1,1), (1,2,3,1), (3,4,5,3). If the vector space (subspace)…

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Q: Let H span {(0,-1,-2), (-2, -4, 1), (3, 3, -1)}. A basis for the subspace HCR³ is { 2. }. vector

A: The basis are  { (1,-1,0) (0,-6,1) (0,0,13) and these are linearly independent vectorsExplanation: