Let A = [a₁ a2 a3 a4], and suppose that x = (4, -7, 9, 1) is in null(A). Write a4 as a linear combination of the other three vectors. a4-4a1 + 7a2-9a3

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Q: Let u4 be a linear combination of {u₁, U₂, U3}. Select the best statement. OA. {U₁, U₂, U3, U4}…

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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: For the vectors A = Ux + 3uy + 5uz , B = 2ux, 4uy + 6uz, and C = 3ux + 4uy + 5uz. Show that A x (B x…

A: For the vectors A = Ux + 3uy + 5uz , B = 2ux, 4uy + 6uz, and C = 3ux + 4uy + 5uz. To show :-A x (B x…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given S={ s1 = (2,-1,3),   s2 =(5,0,4)} a) To write (-1,-2,2) as linear  combination of s1 and s2

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A: Given vectors, v1   = 34 , v2 = -4-1 , and v3 = -811 v1 , v2 and v3 will be linearly independent if…

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A: Given  A=3-66554048 Finding AA=3-665540483-66554048⇒AA=-21-2442401182205280

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A: Given vectors  a = <8,-6,7> b=<-1,4,-3>

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Q: The vectors 3 -4 3 = 12 w = -8 5 -23 + k 7 are linearly independent if and only if k +

A: Solution:-

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Q: 1. Write the vector 1 16 as a linear combination of the vectors 1 2 and 2 1

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Q: Given the following vectors A = -4a +3a-2a₂ X y B=a_+5a +7a_ X y z C=-2a-4a +6а X y Evaluate |AX…

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Q: D1 = (12, 3, 9) , ô2 = (12, –15, –15), öz = (-8, 16, 18). Are the vectors1.02 and i3 linearly…

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A: We will write  as a linear combination of the vectors

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Q: V2 3 V3 Write w as a linear combination of v,., V4 in two different ways. Don't leave any fields…

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