"4, and us.) v = (5, 2, –12, 13, 6) u = (1, 2, –3, 4, –1) u2 (1, 2, 0, 2, 1) U3 = (0, 1, 1, 1, -4) (2, 1, –1, 2, 1) us = (0, 2, 2, -1, -1)

Q: 2 3 2 If Eij=|3 -1 5 2 5 -4 then the invariants are | .I Iz= -1, I2= 12 , Iz = 50 %3D .II Iz= -7…

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Q: Consider the graph below of the first derivative, f'(x), of some function f(x). On what intervals is…

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Q: let u=(1,2,3), v=(3,2,1) and w=(4,5,6) u.(2v)= Select one: 1/20 20 -20 -1/20

A: The given vectors are: u=(1, 2, 3)v=(3, 2, 1)w=(4, 5, 6)

Q: 5. Let u = {1, 2,3, 4, 5, , 15} A = { 1, 2, 3, 4, 5 } B = { 1, 3, 5, 7, , 15 } .. Find (An B' )'

A: Given that,

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and T= {1,3, 7}. Find T'. O T = {2, 4, 5, 6, 8,9, 10} OT =…

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Q: : let u = (1, 2, 3), v = (2, 2, -1) and w = (4, 0, -4) then u-v and v - u equal %3D None u - v =…

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Q: If u = (1,6,6), and v=(6,-3,2), proj,u = a. b. scal,u= proj,v%3D с.

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Q: draw a hasse Diagram

A: Given - R = 1, 1, 3, 2, 1, 3, 2, 2, 3, 3, 1, 2 To find - Draw a Hasse Diagram.

Q: 4- Suppose that A = {x1 = (2,0,1), x2 = (1,–1,4), x3 = (-1,–2,1)} and B = {y, = (-1,0,2), y2 %3D %3D…

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Q: 1 = 4, x, = (1, 0, 0) 12 = 2, x, = (1, 2, 0) 23 = 3, x3 = (-7, 1, 1) 4 -1 8 A = 2 1 0 3 4 -1 8 1 Ax…

A: Eigen values and vectors

Q: D(-4, 3), E(-2, 3), F(-1, 1), G(-4, 1) 11) and L(1, –1), M(3, –1), N(6, –3), P(1,–3)

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

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Q: Let R = {(3,4),(1,3),(4,2),(4,1)}, Then R² is given by O (1,3),(2,1),(3,2),(4,3)} O {(1,3).(2,1).(3,…

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Q: 7) J(1, 1), K(3, 2), L(4, 1) and M(6, 1), N(5, 2), P(2, 1) 8) E(0, -5), F(-1, -3

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Q: 1 If v = 3 3 and w = 2 (2, 12, 9), then | V X w =

A: Use cross product to solve

Q: If A= {1,2,3,4,5,6,7,8}    B= {1,2,3,4,5}    C= {7,8,9,10}    U= {1,2,3,4,5,6,7,8,9,10} What is B’…

A: Universal set: The set containing all the elements of the related set without the repetition of…

Q: * Q1 X1 x27 -图 If 3 2 4 X1 +x2 %3D 4x4. [x3 3 +x4 1. x1 = -2, x2 = 2, x3 = -2, x4 -3. 2. x1 = 2, x2…

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Q: 4. Define = {1,2,3,4,5,6} and A₁ = {i} for i = 1,2, ...,6, B = {1,4}, C = {2,3,4}, D = {1,2,3} and E…

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Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. {1,3,4} U {5,7}

A: For two sets A and B, A ∪ B implies the set of elements that belong to set A or B.

Q: P(3, -2, -1), Q(1, 5, 4), R(2, 0, -6), S(-4, 1, 5) find proj PS. QR

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Q: 4. Find z, and z, such that, 2iz, +iz, 2+5i and = 9-11i 3i z,-2i 2, 4 =i+1, z, = 3+4i (b) z, = 3-4i,…

A: Solution:- let z1 and z2 be the different ccmplex number i2= -1 i3=-i

Q: 4. Let A %3D {a, b, c}, В %3D {x, у}, and C %3D {0, 1}. Find a) АхВх С b) СхВхА с) СхАх В d) ВxВxВ.

A: Given that: 4. A={a, b, c}, B={x, y}, C={0, 1}   NOTE: As per our answering guidelines, we can only…

Q: Let u = (3, 1, 2), 1 = (1,0,1), v2 (2, 1, 3), v3 = (4, 2, 6). Find C₁, C2, C3 such that = u = C1v₁ +…

A: In this question, we want to find the values of the cofficients of the given linear combination of…

Q: U = {1, 2, 3, 4, 5, 6, 7, 8} A = {2, 4, 6} B = {1, 2, 5, 6} C = {2, 3, 4, 5, 8} Find the…

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Q: 10 If a %3D (-5,-4, 3 ), b %3D (6,-2,-7), с %3D (-2, 2, 4 ) Find 2a - b-0.5 с ? ( - 15, – 7,11) о…

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Q: c. (18,-11,9,8) d. (18,11,9,-8) 2. x = (-1, -2,-2), u = (0, 1, 4), v = (-1, 1, 2), and w = (3, 1,…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: If A ={2,3,4}, B= {2,5,6} then (B-A)x(ANB) is O {{3,2),(3,5),(3,6)} O {{3,2),(3,3)} O {(5,2).(6,2)}…

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Q: Let A %3D {1,2,3, 4}, В %3D {3,4, 5},С %3D {а, b, с}. Find A n B, A x С, В х С, (АnВ) х ( (Ах С)n (В…

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Q: Let Ai = = [i, i + 1], i = 1, 2, 3, Then A₁ A2 A3 A4 is. a. {1,2,3,4,5} b. (1,5) d. [1,5] ....

A: We have given that Ai=[i,i+1]A1=[1,2]A2=[2,3]A3=[3,4]A4=[4,5]

Q: If u x = [1, -3,5], thenx =

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