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 = {1,1, 2, 3, 3, 4, 5, 6, 7, 7, 8, 9, 10} OT = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} OT = {1,3, 7}

Q: Let A=(1,2,3,4), B-(00,01,10,11), C=(x.y,z). f-(1,00),(2,01).(3,01).(3,10) (4,11)). f -((1,x),…

A: The question is based on composition of function  f: X→Z and g: Z→Y then gof: X→Yalso  gof(t) =…

Q: Find projvu.u = (−1, 3, 1), v = (4, 0, 5)

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Q: Let R1 = {(1, 1), (2, 2), (1,3)}, R2 = {(1, 1), (1, 2), (1, 3), (1, 4)}, then R2 - R1 = Select one:…

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Q: Let u = (3, 5, -7) and v = (6, -5, 1). Evaluate u + v and 3u - v.

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Q: Find u − v, 2(u + 3v), and 2v − u. u =  (6, −7, 8, 3),       v = (−2, , 7/3, −8/3 , −1)

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Q: If X = {1,3,4,19}, Y = {2,3,4,7} and Z = {2,4,6,9}, then what Is X U (Y ∩ Z)

A: The union of two sets A and B is a set containing all elements in both set A or set B. The…

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

A: Given that:

Q: 1. Let A, = {1,3,5}; A, = {2,3,4,6,7}; A, = {1,2,3,4,5}; A4 = {2}; As = {2,3}. %3D %3D a. IfI =…

A: Since you have posted multiple questions, we solve the first problem for you. If you want to be…

Q: Assume that U= { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }, A = { 2, 5, 7, 8 } and B = { 1, 4, 5, 7 }. Find…

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Q: Let U= {0, 1, 2, 3, 4, 5, ...), C= {1, 2, 3, 4, ...), and D=(4, 8, 12, 16, ...). Determine the set…

A: We have given that U = { 0,1,2,3,4,5,...} C = { 1,2,3,4,...} D = { 4,8,12,16,... }

Q: Suppose u (3, 2, – 4) and ī = (-5, –4, –4). Then: | u + v=| v= u= 7u= 2u 3v=

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Q: calculate the linear combinations. u = (−3, 1, 4), v = (6, −2, 8)

A: We have been given the vectors u = (−3, 1, 4), v = (6, −2, 8).

Q: Let i = (-3, –1) and v = (-8, –4). Find u – v. Select the correct answer below: O (5, 3) O (11, 5) O…

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Q: Let a=⟨−3,−2,2⟩ and b=⟨−4,−2,0⟩ Compute:

A: Given that          a = <-3, -2, 2 >    and    b = <-4, -2, 0> Here we have to compute…

Q: If U = {0,1,2,3,4,5,6,7,8,9}, find (U∪∅)'

A: Given that  If U = {0,1,2,3,4,5,6,7,8,9}, find (U∪∅)'

Q: Show that U(−f, p) = −L(f, p) and L(−f, p) = −U(f,p)

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Q: Let U= {1, 7, 2, 12, 5, 10, 20, 18} A = {1, 20, 18} C = {7, 2, 12, 5, 10} Find A U C'.

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Q: For U = {1, 2,3, 4,5,6,7,8,9,10} let A = {1, 2,3,4,5} , B = {1,2, 4,8), C = {1,2,3,5,7}, and D =…

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Q: = (-10,6, –4) be in R and a be in R. Then , 36 , Let x ат — ).

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Q: 9. Let u AB and v = =PQ where A=(-4, 6), B = (3, 3), P = (4, 5) and Q = (-3, 8). Can you verify that…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: : let u (1, 2, 3), v = (2, 2, -1) and w = (4, 0, -4) then u-v + 2w equal %3D (7, 0, 1) O None O…

A: Calculate u-v+2w:  u-v+2w=1,2,3-2,2,-1+24,0,-4                  =1-2+2·4,2-2+2·0,3--1+2·-4…

Q: Let  U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17} A={1,2,3,7,9,11,13,14} B={2,3,6,8,11,12,15,16,17}…

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Q: Let S = {0, 1, 2, 3} and the relations A, B, and C on S are as follows: А %3 (0, 0), (0, 1), (0, 3),…

A: Equivalence Relation An equivalence relation on a set S is a subset of SXS, i.e., a collection  of…

Q: 8. Express the following as linear combinations of u = (2, 1, 4), v (1,-1, 3), and w= (3, 2, 5). (a)…

A: (b) ( 6, 11 , 6 )   We have to write it as linear combinations of (2 , 1 ,4 ) , (1, -1, 3 ) and (3…

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

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Q: Find the value of t for which (4, 6, 3, t) belongs to Span {(1, 3, -4, 1), (2, 8, -5, -1), (-1,…

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Q: If z,,z,€C then Zz=Z2 OZi+Z2=Z,+z2 OZi+z2=0 Z,Z2=0=Z,=0 or zz=0

A: 2nd and 4th options are correct.

Q: 8. Express the following as linear combinations of u = (2, 1, 4), v= (1,–1, 3), and w= (3, 2, 5).…

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

Q: : let u = (1, 2, 3), v = (2, 2, -1) and w = (4, 0, -4) then u-v + 2w equal (8, 0, 0) O (7,0, 1) O…

A: The solution of given problem is given as follows :

Q: Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 3, 4, 5, 6}, and B = {0, 3, 6, 9}. Find A - B

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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: Find projvu.u = (2, 3), v = (0, 4)

A: Given: Let the vector u and vector v be: Formula used:

Q: Let Az = { k, k + 1, ..., k²}, for k 1,2,3, .. Find U은1Ak-nE1 Ax

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Q: Find projvu.u = (2, 5), v = (0, 5)

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Q: If u = [3, - 1] and v = [1,4],compute and draw u + v.

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Q: Let u = {1, 0, 2}, v = {0, 1, 3} and w {1, 0, 1}, then

A: Let u={1,0,2},v={0,1,3} and w={1,0,1} .

Q: If R = {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2)}, what is the reflexive closure of R? O {(1, 2), (2,…

A: The Second option is correct  {(1,1),(1,2),(1,4),(2,2),(2,3),(3,1),(3,3),(4,2),(4,4)}

Q: Let u = (1, 2, 3), v= (2, 2, –1), and w = (4,0, –4). Find u – v+ 2w о (3,0, 0) о (7,0, —4) о (11,4,…

A: Given that  u=(1, 2,3) V=(2, 2,-1) and W=(4, 0,-4)

Q: Let f : {1, 3, 4} → {1, 2, 5} and                   g : {1, 2, 5} → {1, 3} be given byf = {(1, 2),…

A: The function f and g can be denoted as follows.

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9} ; A = {1, 3, 5, 7, 9} ; B = {1, 2, 3, 5, 8} ; C = {4, 5, 6}…

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Q: Let u= (4,15) and v=(2,-3,1). Then (2u+v).(u-3v) is equal to:

A: Given,    u=4, 1, 5, and v=2, -3, 1

Q: Let w = (2, − 1, 1), v = (− 4, − 5, 1), and u = (6, − 2, 2). Find u × (v × w)

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Q: Let U = {1,2,3,4,5,6,7,8,9,10} Let A = {1,2,4,6,9} Let B= {1,3,4,5,8} Determine (A - B)'

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Q: Let U={1,2,3,4,5,6,7,8,9,10}   Let A={1,2,3,8,9}.   LetB={1,4,5,6,8}.   Determine (A−B)′

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Q: Let U= {1,2,3,4,5,6,7,8,9,10,11} A= {3,5,8,11} B= {2,5,6,7,8} C= {1,3,5,6} D= {3,4,6,7,8,10,11}…

A: Given sets are U= {1,2,3,4,5,6,7,8,9,10,11} A= {3,5,8,11} B= {2,5,6,7,8} C= {1,3,5,6} D=…

Q: Given that U = {1, 2, 3, ..., 18, 19, 20} А - {1,4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 18, 19} В - {2,…

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Q: Let S = (0, 1, 2, 3} and the relations A, B, and C on S are as follows: A = {(0, 0), (0, 1), (0, 3),…

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Q: 8. Express the following as linear combinations of u= (2, 1, 4), v= (1,–1, 3), and w (3, 2, 5). (a)…

A: Linear combination :  A vector v∈V(F) is said to be a linear combination of the vectors v1,v2,...,vn…

Q: 1. a. Is {{a, d, e}, {b, c}, {d, f}} a partition of {а, b, с, d, e, f}? b. Is {{w, x, v}, {u, y, q},…

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