Consider the Euclidean inner product space R³ with a basis B= 3 Find an orthonormal basis of R³. O A {} OB. 1 √3 1 √6 OE. None in the given list 1 1 (1.-2,1), (0. 1 Oc{(1,1,1), To (0,0,1), √6 OD.S (1,1,1), (0, – 1, − 1), (0,1,0)} 1 1 2 (0.-1.1)} (-2,1,1),(0,-1,1)} {(1,1,1),(0,1,1),(0,0,1)).

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Q: Show that the set is an orthonormal basis for R3.

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Q: In Rª, let S = {(1,2,2, –1), (0, –1,4, 2)} and T = U = sp(S) and W = sp(T). Find a basis for U +W…

A: Your approach is absolutely right!

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Q: Is this the basis? What is the rank of A?

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Q: 11. For what value(s) of k does the following set of vectors form a basis for R³? ·4·0 3 3

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Q: 1 The coordinate vector of A = 2 k 2 with respect to the basis 1 В — 1 1 1 1 1 1 0 0 1 1 1 is (A)B =…

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Q: #16. X=\ [5-24 dis are real numbers Then a basis for X 1S'. iS. A) 6) -2 3 2 3 D) E) Mone

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Q: Q No. 2. Show that the set S = {v,,v2,V3,V,}, where v, = (1,0,1,0), v2 = (0,1,-1,2), v, = (0,2, 2,0)…

A: We have to solve

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Q: Suppose that G E Fxn. Let X1, X2, ...Xe be a basis for Nul(G). Form a matrix H whose columns are X1,…

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