Which of the following sets are subspaces of R? OA. {(-2, y, z) | y, z arbitrary numbers } B. {(x, y, z) | x + y+z = -5} OC. {(x, y, z) | 2x – 6y = 0, 9x + 5z = 0}

Q: Find the cross product u x v where i = 3i +6j +9k and v = (- 2, – 4, 5). ux v =

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Q: Let S be the parallelogram determined by the vectors b₁ S under the mapping x+Ax. 3 = and b₂ ---H -6…

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Q: et S be the subspace of IR° spanned by u and v. Find the closest vector p in S to the vector w. -2 7…

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A: Given A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,k,-2) AB→=(0-4,(1+2),(0-6))=(-4,3,-6)…

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A: The question asks to give restrictions must be made on x, y, and z so that the triple (x,y,z) will…

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Q: I need help with this assignment. they all should have 4 places after the decimal place unless the…

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Q: Can someone help me answer this question with all the steps thank you.

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Q: Let a, 1 1 -7 -7 3 and b = 3 15 h For what value(s) of h is b in the plane spanned by a, and a₂?

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Q: t G(u, v) = (6u + v, 32u + 9v) be a map from the uv-plane to the xy-plane. Find the image of the…

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Q: Let T (V₁, V2, V3) w = (4, 1, −1). = (2v1 + V2, 2v2 − 3v₁, V₁ — V3). Find T(–4,5,1) and pre-image of

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Q: Find a linear mapping G that maps [0, 1] × [0, 1] to the parallelogram in the xy-plane spanned by…

A: The linear map G maps  to the parallelogram in XY-plane.The parallelogram is spanned by the vectors…

Q: Find k so that the points P(0, 1, 1), Q(-1, 1, 3), and R(-3, 1, k) are on the same line (collinear).

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Q: M3. Which of the following expresses the fact that the vectors u and v have the same length? (a) ū -…

A: M3. The two vectors u and v have the same length if: (a)u→·v→=v→·u→

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A: Obtain Kernel of T as follows.