Q1. Given B = {v1 = (0, 1, 1, 1), v2 = (2, 1, –1, –1), v3 = (1,4, –1,2), v4 = (6,9, 4, 2)} B' = {wi = (0,8, 8), wz = (-7,8, 1), wz = (-6,9, 1)} з -2 1 0 A = 1 6 2 1 -3 0 7 1 and T : R' – R such that matrix A is the transformation matrix in relation to B and B' basis. --() a)Find a formula for T(1,82, 13, 74) - and use that formula to get T(2,2,0,0). b)find Im(T) · and a basis for Im(T\What is the dim(Im(T}}? - c) find Ker(T) and a basis for Ker(T). What is the dim(Ker(T)}?

Q: 3. Given u =(3, 10,-8) and v = (-1,6,4), a) find 3v--u

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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: Let U = {h, i, j, k, I, m, n, o, p} A = {h, i, j, m} B= {h, k, I, m, o}

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Q: Then where a11 = " a12 = , = a13 | Q21 = . A = A=1 = 1 1 1 7 0 7 2 -66 111 121 | C31 , a = 112 113…

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Q: If a = (2, -1, 8) and b (6, 2, 1), find the following. a xb bx a =

A: Given:- a = <2, -1, 8> b=<6, 2,1> To find:- a X b and b X a

Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

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Q: 2 -6 -5 1 BH 6 5 5 -5 -6 -4 2 -6 EE H 6 4 -5 1 -2 5 5 -5 -4 | and

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Q: Given that 5w = = (-5, 20), what is w? Select the correct answer below: (-1,4) O (1, -20) O (-4,1) O…

A: given,  5w→=<-5,20>

Q: Suppose u=⟨−4,4,−2⟩ and v=⟨4,−2,3⟩. Then u×v=   v×u=

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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: Then where a11 = where C11 = , a12 = , C12 = 5 = ( ² $). B A = a21 = , C21 = , B = A + BT = ,a22 =…

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Q: 5. If Ā= 2 4 If A and B -2 3) find: 5 7 (a) AB (b) Ã+E (c) 2A" - E (d) a" (A- E)

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Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

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Q: Plot the scatter plot defined by the points on the left. Then match it to the correct correlation…

A: 2,8,4,7,5,6,6,5,8,4 r=-0.83 1,1,3,3,5,5,7,7,9,9 r=-0.04 2,8,4,8,5,4,6,6,8,3 r=0.47…

Q: Write a function for the blue graph of a quadratic function in a form: f(x) = a ( b (x + c))² + d…

A: The given parent graph is shown by red and transformed graph shown by blue in the question.

Q: Compute the following. (a) P6, 2. (b) C6, 2. (c) P6, 6.

A: P(n,r)=n!n-r!C(n,r)=n!n-r!.r!

Q: Find Jul, Ivl, 12u[, , lu + vl, lu - vl, and Jul - Ivl. u - (1, -4), v= (-10, –10)

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Q: Let u = and v = Find each quantity: a) (u)(v)  b) (u)(u)  c) (v)(v)

A: Given: u =<4,-3> and v =<-2,7>

Q: Let A = {h,1,o}, B = {7,8), C = {7}. AXBXC = { CXBXA = { BXBXB={

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Q: 78 CHAPTER 1 Limits and Their Properties Exercises for Section I.4 The symbol A indicates an…

A: At c=3 a) limx→c+f(x)=limx→3+f(x)=1  as we can see from above graph the function approaches to 1…

Q: If u = (-9, -3) and w = (3,-1), find u-5w. Select the correct answer below: O (-6,-2) O <0,-2) O…

A: u→=-9,-3,w→=3,-1