Which of the following sets spans R³? O ((3,0,-2).(0,0,0)) ((3,0,2)} O {(3,0,-2),(5,1,0),(0,-1,1)} O None of these

Q: Which of the followwing sets is linearly independent? O M={ (1,1,3),(3,2,0), (4,5,6)} O…

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Q: Prave that for all sets A and B, (ANB) = A UBC %3D

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Q: Which of the following sets are closed under addition? Explain why they are or are not closed. d.…

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: consider the following sets: U = {-5,-4,-3, -2,-1,0,1,2,3,4,5}, A = {x: x² = 25}, B = {-5,0,1,2,3,4,…

A: We have to find

Q: Which of the following sets spans R {(1,1,1), (1,1,0), (1,0,0)} {(3,0,-2)}…

A: This question is related to Linear Algebra

Q: (a) By contradiction, prove that V x, y € Z, if xy is even and y is odd then x is even. (b) Show…

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Q: Q3- Give an example of two denes not equal X subsets of (R,7) and (z,7cof). ( Explain your answer ).…

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Q: Prove and verify whether the set below spans R3 a. A = { (4 ,7,3) , (-1, 2, 6) , (2, -3 , 5) } b.…

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Q: Which of the following sets spans R? O {(3,0,-2)} O (3,0,-2),(0,0,0)} O ((3,0,-2).(5,1,0).(0,-1,1)}…

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Q: Find the complement of the set given that U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: Which of the following sets spans R³? O {(-3,0,2).(0,0,0)} O {(-3,0,2),(5,1,0),(0,-1,1)} O None of…

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Q: Q3- Give an example of two denes not equal X subsets of (R,tco) and (z,rof ). ( Explain your answer…

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Q: Which of the following sets spans IR³? O ((0,1,-1),(0,0,0) O {(-3,0,2).,(5,1,0),(0,1,-1)} {(0,1,-1)}…

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Q: Which of the following sets spans R? R32 O (3,0,-2)} O(3,0-2).(0,0,0)} O(3,0,-2).(5,1,0),(0,-1,1)} O…

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Q: a) Show that the set S = {(1, 2, 3), (0, 1, 2), (– 2, 0, 1)} spans R³. b) Determine whether the set…

A: See the attachment.

Q: 3. True or False 1. Write in words the ff. set notations a. 3 € {1,2,3} b. 1C{1} c. {2} € {1,2} d.…

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Q: Which of the following subsets of R² are open? From the 5 choices, select all that apply {(x, y) : y…

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Q: Which of the following sets spans R³? {(0,1,-1)} None of these O {(0,1,-1).(0,0,0)} O…

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Q: Which of the following sets are the base for R ? Explain the reason. a) S = {(1,1,0, 1). (1, -1,1,…

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Q: Let the set S (-2, 0, 5), fx)=,-1and g(x)=3x- x2 .Are the set gof (S) : {3, -4, 14) {399, 0, 143}…

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Q: 10. Using the figure on the right andU = {a, b, c, d,e,f.g. h} being the universal set, find the…

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Q: Which of the following are disjoint sets?* O D. (1,3,5) and (2,4,6) B. (1,2,3) and (2,3,4) O c.…

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Q: Which of the following sets spans R? {(3,0,2),(0,0,0)} O {(3,0,-2),(5,1,0),(0,-1,1)} {(3,0,2)} None…

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Q: Which of the following set is empty a. {x: x = x} b. { x : x != x 2 } c. { x : x ! = x } d. {x:…

A: Empty set:            The empty set is the unique set having no elements. and its cardinality is…

Q: Which of these are sets having the 2nd element as the inverse of the 1st element? A. (D,A) and…

A: Use the definition of identity and inverse element.

Q: Which of the following pairs of sets are disjoint and which are not ? (i) {x : x is an even natural…

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

Q: Which of the following sets is open in (R, Tu)? OR-(Q-Z) OR-)"2n² :ne N} [2,5) O 12,5) U (1, 7)…

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Q: Which of the following sets spans R? Select one: O a. s = {(1,2, 1), (0,0, 1), (0, 3, 4)} %3D O b. s…

A: In the question it is asked to find which sets span R3.

Q: Express the set using the roster method. {x | XEN and 6<xs 12} Choose the correct answer below. O A.…

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Q: Express the set using the roster method. (x| xEN and x> 9) Choose the correct answer below. O A.…

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Q: Which of the following sets is R It stretches (produces) ? Why? a.{(1,1), (2,2)} b.{(0,0), (1,1)}…

A: Simple basis problem....

Q: 2. Express the set using the roster method. (x | XEN and xs 5) Choose the correct answer below. O A.…

A: In given question, we can define the set using roaster method.

Q: Which among the sets is open? [0,1) (0...1/n.....1/3,1/2,1} R\[a,b] None of the above.

A: Given problem:- Which among the sets is open?   [0,1) (01/n....1/3.1/2.1} R\[a,b] None of the…

Q: Which of the following sets spans R? O (3,0,2).(5,1,0),(0,-1,1)} O (-3,0,2),(0,0,.0)} (-3,0,2)) None…

A: To finds sets that spans R3

Q: (a) By contradiction, prove that V r, y € Z, if ry is even and y is odd then x is even. (b) Show…

A: (a) Given v x,y ∈Z,     &amp; xy is an even integer with y is odd.     To show x is even.      Let…

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 7}.  (Enter your answers as a…

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Q: Which of the following sets are equal? A = {b, g, j} B= {x, y} C= j, g, b} D= {x|1sx<3 and xEN} J=…

A: Here, A = {b, g, j} B = {x, y} C = {b, g, j} D = {1, 2, 3} J = {0, 2, 4, 6, .....} K = {6, 8, 10,…

Q: Which of the following sets spans R³? None of these O {(0,1,-1)} O {(0,1,-1),(0,0,0)} O…

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Q: Which of the following statements is true OA For all sets A, B and C. if AUC=BUC then A =B. O B. For…

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Q: Define the sets A, B, C, and D as follows: A = {-3, 0, 1, 4, 17} B = {-12, -5, 1, 4, 6} C= {x € Z: x…

A: Intersection collect all common elements and in union collect all elements

Q: Which of the following sets spans R3? O {(3,0,-2),(5,1,0),(0,-1,1)} None of these O {(3,0,-2)} O…

A: Dimension of R3 is 3. It means any three linearly independent elements of R3 can span it here we…

Q: Which of the following sets are closed under multiplication? 11. (i) X = {1, 2, 3, 4, ..., 30} (ii)…

A: i) If we multiply 30 and 2 from set X, then we get 30*2= 60  This is not in the set. So, X is not…

Q: One of the followin relations is not symmetric,where A={1,2,3,4}: .a…

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Q: 28. Which of the following sets does not have the completeness axiom? A. R {0} B. R+ C. Q {0} D. R…

A: We have to determine which sets doesn't have the completeness axiom .

Q: Q2. Is it TRUE that for all sets A and B the identity below holds? A\(A\ B) = ANB

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Q: Which of the following is not in R={(x,y)┤|x+2=y}, where R is a subset of A×A and A={1,2,34,5}? a.…

A: Solution

Q: Which of the following sets spans R (1,0,-2),(5,1,0),(0,0,0)} {(3,0,-2)} O((1,1,1), (1,1,0),…

A: If the set spans R3 then the vectors are linearly independent and it forms a basis and R3 must…

Q: The set of all triples of real numbers (x, y, z) with the operations x, y,2) + (x', y',z') = (x +…

A: Given : set of all triples of real numbers x, y, z with the operations   x, y, z+x', y', z'=x+x',…