An orthonormal basis for (40) V = span is given by... 1/3] 2/3 0 2/3 -1/3 [-2/3] [2/3] O This subspace doesn't have an orthonormal basis. 1/3] 2/3 {| 1/3] 2/3 -2/3 0 2/3 1/27 -1/2 1/2 -1/2,

Q: Find a basis for the subspace of R3 spanned by S = {(2,3, -1), (1,3, -9), (0,1,5)}

A:

Q: Let B = vector of 7 = E [V]B 0 1 00 {[%] [83] [28] [89]} 9 9 relative to B. -5 -2 || be an ordered…

A:

Q: Identify a basis for the following subspace: -a a-b W= W-[[ 26 42 D | ER₂10.0 ER} 4 2b 3a A ( 1 - ER…

A:

Q: Find a basis for the subspace of R'consists of all vectors of the form (a, 2a + b, b, 0). State its…

A:

Q: 1 8 Find a basis for the subspace of R³ consisting of all vectors 2 such that 6x1 - 7x2 - 4x3 = 0. 3…

A:

Q: 13 Find the orthogonal projection of v = 7 onto the subspace V of R3 spanned by projy(v) = -12 1 -2…

A:

Q: Consider the subspace spanned by A ---- and 7₂ and the vector = basis {1, ₂}. = 5 9 in this…

A:

Q: find an orthogonal basis and then an othnormal basis for the subspace U of R3 spanned by v1 =…

A: The objective of this question is to find an orthogonal basis and then an orthonormal basis for the…

Q: (4) 10. Let H = {r+2x2, 1+ ka?, k + (2k + 3)r2} (a) For what value(s) of k is H linearly dependent?…

A: This belong to linear algebra.we check linear independence for the given vectors and find k so that…

Q: 3 1 and x2 = -2 2. Let S be the subspace of Rª spanned by x1 = Find a basis for S-. 1

A:

Q: Find an orthonormal basis for the subspace Span ([1, 2, 0, -2], [4,3,0, 2]) of R4.

A:

Q: Find the vector x determined by the given coordinate vector [x] B and the given basis B. 8) B =…

A:

Q: Find a basis of the subspace V = 1 2 (-1) span{ -{() () · 0)·()} (3). -3 4 5 2 2 4 2

A: NOTE: Refresh your page if you can't see any equations. . write all four vectors in the matrix A

Q: Find the orthogonal decomposition of v with respect to the subspace W. (That is, write v as w+u with…

A:

Q: Let V be the subspace of R spanned by v = . Describe V+ by finding a basis of

A:

Q: (11) Find a basis for the orthogonal complement of the subspace of R" spanned by the vectors V1 =…

A: We have to solve given problem;

Q: Find the orthogonal projection of v = projy(v) = [8] -25 H -7 onto the subspace V of R³ spanned by…

A:

Q: The orthogonal projection of the vector is ... 10/9 7/9 -1 3 onto the subspace V = span 2

A: let v=1-132and  V= span { v1  , v2}v1=2120      and   v2=20-21

Q: Find the projection of the vector v onto the subspace S. -1 1 -1 S = span v = -1 |-2/3 -2/3 projs v…

A: To find the projection of the vector v onto the subspace S, where

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

A: