Verify that the vectors (1,0,1), (1,1,-1), es= e₂ = form an orthonormal basis (ONB), and compute the components of the vectors v = (0,0,1) and w = (-1, 1,-1) e₁ with respect to this basis. √(-1, -1, 2, 1)

Q: Find the coordinates of the vector v = (7,4) with respect to the basis U₁ = (2, 1) and u₂ = (3,1).

A: The answer is given below:

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Q: 1 u=-----(1, 1, 1, 0), V 3 1 -- (-1,-1, 2, 0) W = V6 1 =(1,-1, 0, 0) V 2

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Q: Is this orthonormal or just orthogonal? I thought you needed to normalize the vectors (i.e. divide…

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A: The solution are next step

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Q: Please don't provide handwritten solution ....

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Q: For vectors, v0= (0,3,4,2),v1= (1,1,2,1), v2= (1,0,0,0), v3= (0,0,1,0), find an orthonormal basis,…

A: Solution by using Gram Schmidt process as follows :

Q: vecterd (l,l.3) .c2.3.6] a (libis) form Do the budia fer R?

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Q: 6. -4 Új = -5 U2 = 3 form a basis for R’ if and only if k #

A: Three vectors form the basis of ℝ3 if and only if the determinant of the matrix formed by the…

Q: orthonormal

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Q: Question 4: [2 Mark] Determine whether or not the given vectors in R" form a basis for R": a) v₁ =…

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