1. Determine the possible values of a, b and c, such that alb,ac and bif: a = [a, 5, 1], b = [-5, b, 5] c = [28,- 5,c] -

Q: If A and B can be placed in a one-to-one correspondence, must A=B?

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

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Q: 4. If u = (-3, 2), v = (-4, –6), find 4u – 7v %3D

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Q: I. Find A + B, where a) A = 1 0 41 b) A = 1-1 2 2 1 L 0-2-3 J -1 0561 L -4 -3 5-2 J [-13 3 5 1 2 2…

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Q: Q. One of the following statements is wrong: a.-1,0 = 1.100/ 6.(2,3=| 2.5) C. (1. 2) = R d.(2,3) =…

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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: Use z = a + bi and w = c + di to show that z + w =7 + W.

A: Consider a complex number z=a+bi Then, the complex conjugate of above complex number is given by:…

Q: Let i = (2, –1, 5) and ū = (5, –7,3). Find 37 – 5ū. %3D - А. (-19, —32, 0) В. (-19, 32, 0) С. (19,…

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

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

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Q: Show that if a > b, and a, b i= 0, then b- 1 > a - 1, provided that a and b have the same…

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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: Q.2) Evaluate r8-z² 4 dzdydx 0.

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Q: 4 -7 6. 3. Determine the adjoint of -2 4 7 -4

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

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Q: uxv is , and U x u is

A: We are asked to find the cross product of the vectors

Q: It is known to be Q-N. Accordingly, show that QxQ ~ N.

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Q: Which of the following is equivalent to 3 - V2 O A. V2 А. O B.-V2 3- V2 O C. 3+ v2 O D.

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Q: TRUE or FALSE: A\B = A when A and B are disjoint

A: Given statement ,A|B=A then A and B are disjoint

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

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Q: IfÂ=ax+ißP,, where a and B are real then (axR+1BP,x]is -hB

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Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: Justify whether it is true to say that -1, - 2, .. forms an AP as a, - a, az - a,

A: Here given sequence, a1=-1, a2=-32, a3=-2, a4=52, .......

Q: Let z₁ = 7 - ni, 2₂=2 m+ 3 i, and Z3=4-7 i If 2 Z₁ + Z₂ + 2 z3 = 28+5 i,find m and n: m n=

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Q: a = [, = ; ine 4 Find A· B 1. 3 B

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Q: Find u and if u-27= (1,3,3) and 37+7=(3, 2, 16).

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Q: Q. One of the following statements is wrong: a. [-1,0] = [1,100] b.(2,3] = [-2,5) с. (1,2) %3DR…

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Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Prove that A-B=An(-B) = (-B) – (-A) = −[(-A) U B]. Also, give three expressions for An B and AU B,…

A: Difference of sets: Given two sets A and B, the difference A−B is defined as the set of all elements…

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

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Q: 2. Determine whether or not A is diagonalizable. If so, find D and P such that A = PDP-¹. a. A = [²]…

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Q: Let A=[-1,7[,8={-1,3,10,12} and C={}}. Then (A-B) UC= *

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