^= Let A 8 -1 1-2 1 5, let b: ↓ tb=| [3] the set of all linear combinations of the columns of A. and let W a. Is b in W? b. Show that the third column of A is in W.

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: [-1 -1 21 Let A = = [23] 3 7 Write b as a linear combinations of the columns of A b= a₁t and b a2

A: Given,                A=-12-37, and b=-7-23. To write b as a linear combination of the columns of A.

Q: What are free columns?

A: A matrix is a rectangular array containing the set of numbers arranged in rows and columns. A matrix…

Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

A: A detailed solution is given below

Q: Express 4 as a linear combination of 72 and 104. Find x and y such that 4=72x+104y

A: We have to express 4 as a linear combination of 72 and 104  That is, we have to find x and y such…

Q: Detecmine if the Columns of the mahix beom a Tutihy answer linearly independent Set

A: The Matrix given to us is 0-853-74-15-41-32

Q: 5) Let 0 H 1 0 Can w be written as a linear combination of V1, V2, V3, and v4? V₁ = 2 V₂ = 2 3 1 and…

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Q: (c) Give an orthonormal basis for Span {x₁, X2, X3}.

A:

Q: Express Ac as a linear combination of the columns of A.

A: Given A=2-34-1235-1-2   C=214

Q: xy dxdy Hw

A: See attached file for a step by step explanation.

Q: If A=(7,8) and B=(2,4,6) find A x B

A: Explanation of the answer is as follows

Q: find the Domin and Range Sx²+4X

A: we have to find domain and range: y=1x2+4xfor domain: x2+4x>0   ...............(1)firstly, find…

Q: Let å = (– 1, – 2, 1) and b = (4, 2, 1). Find å x b. V

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Q: Suppose A = (-1, –5, –7) and AB= (-5, 14, 4). Then В — (5,-70,-28) help (points)

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Q: Are the following  points collinear    -8,12  3,5 and  25,-9

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Q: (7, -8) and w=(-4,8), Given v= find v+w. v+w=

A: We know that, A vector in form of V→=a,b is represented as V→=ai^+bj^

Q: Let = 2 4-8 L and = 0 Then proj= CO -4 3

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Q: Determine if b is a linear combination of ā1, ãz and dz. 6 = 2 3 16

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Q: Let a = (-1,0, 5) and 6 = (3,-1,0). Find à x 6. < V

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Q: Determine whether b can be written as a linear combination of a, and a2. In other words, determine…

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Q: Find u. v. [1.14, -3.26, 2.09, -1.87] = [-2.29, 1.72, 4.33, -1.54] = V =

A: Given u=[1.14, -3.26, 2.09, -1.87] =[u1 u2 u3 u4] say   v=[-2.29, 1.72 ,4.33, -1.54]=[v1 v2 v3 v4]…

Q: Show that 1 -2 = R³. span 3 1

A: In R^3 if three vectors are linearly independent then they span the whole space R^3.

Q: Which of the following are linear combinations of v1 = (1, -2,2) v2 = (3, -5,7) O a. (24, -39, 51) O…

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Q: Which of the following sets is linearly independent in P, ? {1-x,0,-3x + 1} (-1+2x, 5x², -2 +4x} the…

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Q: Give the matrix representing the relation in the previous problem. Label the rows and columns.

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Q: Determine whether the points (-9, 8, 1), (10, -15, 5), (6, 6, -12), and (8, -4,-3) are O no O yes…

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Q: Find the adjoint of

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Q: find the midpoint of AB if A(-3,8) and B(-7,-6).

A: GivenA(-3,8) and B(-7,-6).