Find the orthogonal complement of the null space of A. 1 -2 (a) A =| 2 2 2 4 -1 6. 1. -1 3 2 (b) A = 1 -4 7 8 2 1 2 -2 3.

Q: [1 2] 3 6 Let A = Write the vector u = (4,3) as u = u, + u„ where u̟ and un belong to the row space…

A: The given matrix is A=1236. Obtain the reduced row echelon form of matrix A as follows…

Q: 2.x - y-z = 0 5x - 2у +2: 3 Зх + у - 2: -8

A:

Q: Let u = (3, 2, x) and v = (2x, 4, x). (a) Find all possible values of x that make u and v…

A: Given thata)We have to find all possible values of x that make u and v orthogonal.b)We have to find…

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Q: Find the stable vector of 1 3 4 4 P = 4 %3D 3 7

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Q: 5. Let u= w= [-]-[], and w (a) Show that w is not a linear combination of u. (b) Show that u and V…

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Q: { (1, 2, 1), (2, 1, 5) , (1, –4, 7) } (i) Prove that is linear dependent subset of R³. (ii)…

A: A set is linearly dependent if and only if one vector is linear combination of other vectors.

Q: 3. Check whether (2, 4) and (1, 2) are linearly dependent or not?

A: Linearly department vectors

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: Suppose |||| = 5 and |||| = 6, and assume and y are orthogonal. Then ||-||²7

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Q: Let V₁ = [], , V3 Determine if the set {V₁, V₂, V3} is linearly independent. ‚ V2 =

A: Definition of linearly independent set

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: Which of the following operators in R'are linear? 1. T(x) = (8x2, -5x, -9x) %3D 2 T(x) = (10x; - 7x2…

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Q: 2) Consider a set of points {(-2,-18), (-1, -7), (0, -2), (1, -3), (2, -10)}. a) The least squares…

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Q: Q7) True or False, and Justify your answer. If v1, v2, ... V4 are in Rª and v3 = 2v1 + v2, then…

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Q: 1 (a) Is the vector 2 in the span of -1 and 2 ? Justify your answer 3 1 (b) Is the set linearly…

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Q: The set {(1,-1,2),(2,0,-3),(2,4,1),(2,0,1)} of 3 is linearly dependent O True False

A: Since the student has posted multiple questions and does not mention any specific question, so we…