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)}, w2 = {-7,8, 1} , wz {(-6,9, 1)} 3 -2 1 0\ 4 = | 1 6 2 1 -3 0 7 1, Fransformation matrix in relation to bases B and B' 1)Check that sets B is a basis of R' and set B' is a basis of R %3D and T : R→ R such that matrix A is the

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: Which of the following are difference sets?

A: Introduction: A (v, k, λ) difference set is a k-element subset D of V = Z (mod v) in which any…

Q: Find a + b, 2a + 3b, Jal, and |a - b|. а %3 (4, -3), ь - (-2, 5) a + b = (9,2) 2а + 3Ь %3D (2,9) |a|…

A: Here given as

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

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Q: a (1, 0, 1), b = (2, 1, −1) and c = (1, -1, 4). Calculate |ax (b+c)].

A:

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…

A:

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: Find the mid point for A( 1 , 2 ) B( 7, 8 )

A: Mid-point for the given points is- a=x1+x22,b=y1+y22 where a & b are the mid-points, and,…

Q: Find A x Bx C where A = {4,6},B={14,18} , C = {0}. O (4,14,0), (4, 18,0), (6, 14, 0), (6, 18, 0) O…

A: given A={4,6}B={14,18}C={0}

Q: Find A x B x C where A = {2, 5}., B = {13, 17}, C = {0} . O (2,13,0), (2, 17,0), (5, 13, 0), (5, 17,…

A:

Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

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).

A:

Q: Suppose U = {1, 2,..., 9}, A = all multiples of 2, B = all multiples of 3, and C = {3, 4, 5, 6, 7}.…

A:

Q: (2) Write v as a lincar combination of u₁, U₂, U3 if possible, where U₁ = (2,3,5), u₂ = (1, 2, 4),…

A: Given that,  V=(10, 1,4)  u1=(2, 3,5), u2=(1, 2,4) , u3=(-2, 2,3)  To find : a, b, c such that…

Q: Use the substitution method to evaluate V1-22dx

A:

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: Is (2,1)=(1,2)?

A: The objective is to determine whether 2,1=1,2.

Q: Is {(3, 4)}Linear combination of {(1, 2), (2, 4)} show all the work and state why or why not.

A:

Q: D: (-00, 3) U (3, o0), R: (-00, 0) U (0, 0)

A: Given; -∞, 3∪3, ∞     and -∞, 0∪0, ∞       = -∞, 3∪3, ∞=-∞, ∞-3=R-3

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

A:

Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

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 = ?

A:

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: ! = [2, 2, 4, 2, 2] =

A: Just notice the method of writing denominators carefully.

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: Let A=(1,2,3,4), B=(00,01,10,11), C3(x,y,z). f1 = (1,00),(2,01),(3,01),(3,10) (4,11)} f2 = {(1,x),…

A:

Q: Which of the following are difference sets? (ii) {0, 1, 3, 5} in Z13,

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Q: 2. Find the interpolating polynomial using NDD of the points (0,0) , (1,16) , (2,48), (4,88) and…

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

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Q: Compute: (1, 2, 3) ·(-2, 1, 0)

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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