Let W be the subspace of R spanned by wi (2,-2, 14, -13), ws it to a basis of R4. (2,0, 3, -4), и2 (6, 2, -2, -3). Is W = R4? If not, find a basis of W and extend (4, 2,-5, 1), ws %3D %3D

Q: Is the given set a basis for R^4. S={(1,0,0,1),(0,2,0,2),(1,0,1,0),(0,2,2,0)} Linear

A: Set :

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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.

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A: Extend {u1=(1, 1, 1, 1); u2=(2, 2, 3, 4)} to a basis of R4.

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Q: d. Find the transition matrix from C to B. e. Find the coordinates of u = (2, –2) in the ordered…

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A: Full and detailed solution is given below. Dim(w) is number of elements in basis(w)

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Q: orthonormal

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

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Q: Does the ordered set v, v, va form a basis for R^3? If not, which vectors would you subtract from…

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Q: Consider the subspace H of R* given by −2a + 2b + 4c -26 H -4a + 8b+8c -2a + 4c : a, b, c = R a.…

A: The given subspace H isreducing to  RREF fromApplying   this is the reduced row echelon form

Q: 3) Find a basis of F3 containing the vectors (1, 2, -3), (2, 6, -3)

A: