In R4 suppose X = (11,3,-4,2), Y = (12, 10, 8,-1), and Z = (-1,7, 16, -22). If W = (a, b, 13, c), find a, b and c so that XZ = 4 YW.

Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: . Let A=[[-9,1],[2,5]]and B=[[6,2],[3,3]], Find A+B   2. let A= [[-1,3],[0,4],[9,-4]]and…

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Q: 3 Let x = (9, −9, −4) and y = (-6, 6, -9) be in R³ and a be in R. Then ax + y = ( ,23).

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Q: 2. Prove that if a, b e R, then (a) -(a + b) = (-a) +(-b), (c) 1/(-a) = –(1/a), (b) (-a)·(-b) = a ·…

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Q: In (Z24, €) find the orders of the elements 3, 4, 6, 7, and 18.

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

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Q: 10. Find a and ẞ such that c = αa + ẞb, where a = (-3,0,2), b = (0,-1,2), and c = (-6,5,-10).

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Q: Given i [2, – 5Jand i = [-7,2] find %3D b. ủ •

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Q: Suppose ū = (-1,3,0) and v = (5, –2,5). Which of the following is 3v - u ? Select one: (-8,1,-5)…

A: given  u = (-1,3,0) v= (5,-2,5)

Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

Q: 4 -7 -3 -2 8. Let A = [^, and 8 = [ -21. Compute A-1B. -1 2 1

A: first we compute A^-1 by using formula

Q: verify that (AB)T = BTAT

A: Given matrices: Now,

Q: 14) A(3,-1), B(1,-2), C(5, -1), A (2₁-6), AB. CA = ?

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Q: If a = (2, 0, 2), b =(4, 2,-2), and c = ax (bx c) = (a x b) x c = = (0, 2, 5), show that a x (bx c)…

A: The answer is in step2.

Q: Find Ax Bx C where A = {1,5}, B={13,17} , C={0}. O (1,13, 0), (1, 17, 0), (5, 13, 0), (17, 5, 0) O…

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Q: HO Let A = 1 -21 4 and B = 3 2 3 5-6 -1

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Q: Let аз +-(633) A and suppose that det A = 8. Determine det B if b3 B = a15c1a2+5c2 a3 +5c3 -3c1 -3c2…

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Q: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

A: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.