- Let 3/2 U2 = U3 a. Show that {u1, u2, u3} is an orthonormal basis for R³.

Q: -6 Find an orthonormal basis of R³ which contains a unit vector 2/3 2/3 133

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Q: Let {u1, u2, u3} be an orthonormal basis for an inner product space V. If v = au1 + bu2 + cu3 is so…

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Q: Let A € Mnxn (R), & be the standard basis for R", and B = {₁,...,n} be another basis for R". If P is…

A: Given, a matrixA∈Mn×n(ℝ). Given, ε as the standard basis ofℝn and  β={v1,v2,...,vn} as another basis…

Q: Let = 3 -26 4 -{--8--[F]--A} 26 , = 52 , = find an orthogonal basis under the Euclidean inner…

A: For any query with the solution please ask in the comment box.

Q: 127 (68) -100 -4 23 B = v= 27 is an orthogonal basis of R³. Find [v]⁄·

A: (.) Given orthogonal basis is,           and  vector (.) Orthogonal basis: A basis  is called an…

Q: Which one of the following is an orthonormal basis of R³? 1 {]--]} {B}. √3 √2 3 {]···]} √2 2 √6 0 /6…

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Q: • Let b₁ = [²] b2 = [:/] and let B = (b₁b₂) be an ardered basis of (R². Compute it, the trave…

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Q: 4. Let R³ be equipped with the dot product and let B = {(1, 1, 1), (0,2,0), (2, 0, 1)}. B is a basis…

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Q: JApply the Gram-Schmidt process to 2 -3 a1 a2 a3 3 1 to obtain an orthonormal basis for Span{a1, a2,…

A: a1=1-100, a2=20-20, a3=3-331 Consider v1=a1=1-100 v2=a2-a2, v1v1, v1v1=20-20-221-100=11-20

Q: 1//18 1/V2 |-2/3 4/V18 is a orthonormal basis of R³. Using the Determine if 1/3 1//18 1//2 -2/3 1…

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Q: Suppose that B = {₁, 2} is an orthonormal basis for the vector space V. If x is a vector in V with u…

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Q: Suppose {u₁, U2,..., U2n} is an orthonormal basis for R2n. Let n A = Im - Σuju?. j=1 Show that (a)…

A: We show that A is idempotent matrix   For this we have A2 =A .. And the eigen values of idempotent…

Q: 5. Use the Gram-Schmidt process to transform the basis B = {(1, −1, 1), (1, 0, 1), (1, 1, 2)} for…

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Q: Let B := (b₁,b2, b3) be an orthonormal basis of R³ such that b3 = √/2 * Let V = 0 and let C₁, C2, C3…

A: Given B:=(b1, b2, b3) be an orthonormal basis of ℝ3 such that b3=121-10.   Also given v=0-1-1, and…

Q: Leta = Express in the form = C1 and let C = in C. Determine c₁ and 2: Number C1 C₂2 Number 3√73 73 8…

A: x→=c1-37373-87373+c2-8737337373We need to find the value of c1 and c2.

Q: 3 4 2 2. A = 1 -9 2 -6 Find an orthonormal basis of the kernel of A.

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Q: ow that B = {5+i, 2+i} is a basis for Q(i) whose elements are algebraic tegers. Why is ß not an…

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Q: 8. Let W = Span{v1, v2}. Find an orthonormal basis for W. Vị = -2 , V1 = 4 2

A: An orthonormal basis for an inner product space V with finite dimension is a basis for V whose…

Q: The following vectors form a basis for R. Use these vectors in the Gram-Schmidt process to construct…

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