Let [1 37 A = 2 4 Find an orthonormal basis of the image of A.

Q: 2. Find an orthonormal basis for the image (column space) of A, where 1 2 3 A = 2 4 6 3 6 0

A: A=123246360  ~ 12300000-9 R2→R2-2R1R3→R3-3R1 ∴it for only first and 3rd column leading coefficient…

Q: Let Find an orthonormal basis of the column space of A. 1 A = -3 M 14 14 4 6 -6 1 2 -7 52 882 12 882…

A: Our objective is given below:

Q: 3 9 A -2 -3 1 9 Find an orthonormal basis of the image of A.

A: Orthonormal basis of a vector space V is a basis of a basis for V whose vectors are orthonormal. Two…

Q: Let R⁴ have a product in Euclidean. Use the Gram Schmidt process to convert the basis (u1, u2, u3,…

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Q: Let 1 1 -4 A = -3 9 -6 -2 8 -7 Find an orthonormal basis of the column space of A. 4 -18/5 -6 36/5

A: Consider the matrix A=[11-4-39-6-28-7]We find the basis for the…

Q: Find an orthonormal basis of the plane z1 + 7z2 - 13 = 0. {

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Q: _et -6 A- 9 Find an orthonormal basis of the kernel of A -6 -6 4 - -6 462]. -2 -6 -2

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Q: Find an orthonormal basis of the plane x₁ + 3x2 − x3 = 0.

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Q: b) Find the value of k such that (-1,1,1), (1,1,1), (1, -1, k) form a basis of R²

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

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

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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: Show that B = {v1=(1,0,0), v2=(3,7,-2), v3=(0,4,1)} is a basis for R3

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Q: Verify that {(sin θ, cos θ), (cos θ, −sin θ)} is an orthonormal basis for R2.

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Q: Prove that the vectors (1, 1, 0),(1, 2, 3) and (2, −1, 5) form a basis for R3

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Q: Let 1 -6 -2 A 1 -3 1 3 -8 4 Find an orthonormal basis of the column space of A.

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Q: 3. Let L: R* → R³ be defined by U1 U1 1 1 1 U2 U2 1 2 1 Let S and T be the natural L U3 U3 1 -2 1 U4…

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Q: Let 1 -4 A = -2 2 6 3 10 Find an orthonormal basis of the column space of A.

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Q: Find an orthonormal basis of the plane x₁ + x₂ + x3 = 0

A: The given problem is to find the orthonormal basis of the given plane. Given plane is x1+x2+x3=0

Q: Find an orthonormal basis of the plane x12x2x3 = 0. 1 1 2 5 ਹੱਲ [廣告] Answer:

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Q: A = 3 1 2 7 -1 4 Find an orthonormal basis of the row space of A. }.

A: The answer is given by using gram Schmidt process as follows