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 {(3,0,-2),(0,0,0)}

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: Write union and intersection of the following sets: а. А%3D {1,2, 3, 4};B В%3D {2, 4, 6, 8} b. А%3D…

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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 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: 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: Find the complement of the set given thatU = {x | x E I and -3 <x 7}. %3D {-3, -1, 3, 6, 7}

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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: 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: 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…

A: Find the spans R3

Q: Express the set using the roster method. {x | xEN and 4<xs7} Choose the correct answer below. O A.…

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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: Which of the following two sets are equal? Select one: a. None of them b. A = {1, 2, 3,3,{}} and B =…

A: Solution:  Defination of equal sets: If two sets A and B are said  to be equal if the number of…

Q: For the set {a,b,c,d}, list  a) all the arrangements of 2 objects.  b) all the subsets of 2…

A: Given problem Given that   For the set { a, b, c, d }, list  a) all the arrangements of 2 objects…

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: Which of the following is the correct set-builder notation for the given set below? {1.1, 2.2, 3.3,…

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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 the following sets spans R? None of these O {(-3,0,2)} O ((-3,0,2),(0,0,0)} O…

A: As per our guidelines only one question can be solved. Solution for the 1st question is given below…

Q: Which of the following sets are equal? A= {c, h, j, k} B = {x, y, z, w} C= j, k, h, c} E =Ø J =…

A: our objective is to compare the sets

Q: Which of the following could be considered as NOT an equal set? B = (x : xe Z, -3 < x 0}; C = {0,…

A: Equal sets are the two sets having same element.

Q: For each of the following sets, determine whether 2 is an element of that set. {x ∈ R | x is an…

A: For each of the following sets, determine whether 2 is an element of that set. 1.{x ∈ R | x is an…

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

A: Given query is to find the disjoint set.

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: List the elements of the given set. the sets (A ∩ B) ∪ C and A ∩ (B ∪ C), where A = {1, 2, 3, 4, 5,…

A: Given A = {1, 2, 3, 4, 5, 6}, B = {3, 4, 5, 6}, and C = {1, 2, 6, 7, 8}.

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

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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: 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: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. (Enter your answers as…

A: First we write {x | x N and x &lt; 6} in roster form. Note: N=set of natural numbers

Q: Which of the following sets form bases: ) (1,1),(-1,1) for R² (1,2,1),(-1,2,1),(0,4,2) for R³…

A: Here we have to check whether the given set of vectors form a basis or not.

Q: Which of the following sets are convex and which are not? 2 a. {(x₁, x₂) x² + x²₂² ≥ 3}. b. {(x₁,…

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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 sets are well-ordered? Justify your answers. (a) A = {r € Q :1> -5} (b) A =…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

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: 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: Express the set using the roster method. {x | xEN and x<9} Choose the correct answer below. O A. (1,…

A: We Know that Roster form: In roster form, all the elements of a set are listed, the elements are…

Q: 3. Find the number of elements of the set P= {n|n E Z, 1<n< 400, 3 Xn and 7 n and 13 n}.

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

A: Finding The Inverse of a Set of Ordered Pairs :-Suppose{(a,b), (c,d), (e, f),(g, h)...} is a given…

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: Find the union and intersection as indicated, given the following set: A={0,4,8,12},…

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Q: Decide, among the following sets are subsets of one and another: A={x:x ER and x satisfy : x - 4x +3…

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.