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 of these

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: Let X = {1, 2, 3, 4, 5} and Y = {7, 11, 13} are two sets. find R = {(x, y): x EX and y EY and (y * –…

A: R has three elements.

Q: 8. Sketch the sets X = {(x, y) e R :x+y s1} and Y = {(x,y) ER:-1sys0} on R. On separate drawings,…

A: And,

Q: 2. Determine the cardinality of the following sets. (a) {2x :1<x < 16} (b) {N} (c) {0,2 – 1, V4, ø,…

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Q: Which of the following sets spans Rº 3 None O {(1,2,3),(0,0,0)(-2,1,0)} {(2, – 1,2),(4,1,3),(2,2,1)}…

A: vectors span R3 means that some combination of the vectors can take up all of the space in R3.

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: Let X = {1, 2, 3, 4, 5} and Y = {7, 11, 13} are two sets. find R = {(x, y): x EX and y EY and (y * -…

A: This is a problem of set theory, and R is a subset of X×Y

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: 1. Which of these are equal: {r,t,s}, {s,t,r,s}, {t,s,t,r}, {s,r,s,t}?   2. List the elements of…

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Q: Given the function f= {(n,n²)such thatn< 3,n€N} as a set of ordered pairs in set-builder notation,…

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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 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: 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…

A: hello greetings from bartelby.i am here to help you.

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: 9) Find the power set of each of these sets, where X, y are distinct elements: (a) {x, y} (b) {x, y,…

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Q: Q3 ( Let A, B and C be sets. Show that (C – A)n (A – B) = 0, without using membership t %3D

A: Note: Sorry for the inconvenience but we are doing questions in text form because as per Bartleby's…

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: (b) Prove that for all sets A and B, (AN B)° = A¢ U B°.

A: We have to prove that for all sets A and B, A∩Bc=Ac∪Bc

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 relations on the set {1,2.3,4} are reflexive, symmetric and transitive? R1 =…

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Q: Which of the following sets is (are) proper subsets(s) of the set of the multiples of 5? Choose one…

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Q: Which of the following are disjoint sets? O B.(1,2,8) and (2,8,4) O C (1,2,5) and (3,4,5) (1,8,5)…

A: Given the sets:  1,2,3 and 2,3,4 1,2,5 and 3,4,5 1,3,5 and 1,3,6 1,3,5 and 2,4,6 We have to check…

Q: State whether each of the following statement is true or false. Justify your answer.(i) { 2, 3, 4, 5…

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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 are disjoint sets?* B.(1,2,3) and (2,3,4) O (1,2,5) and (3,4,5) O (1,3,5) and…

A: Topic:- set theory If the two sets A and B are disjoint then they have no elements in common that is…

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: Which of the following sets is closed in (R, Tu)? O a. { ne N}U{2} 72 2n O b. Q-N c. O c. [2,5) U…

A: Determine the meaning of ℝ, τu. Now, go with each option and check which is correct.

Q: d) The set E = (-1,0) U (0, 1] is an open set. %3D

A: Given set is E = (-1, 0) ∪ (0, 1]

Q: Which of the following are minimal elements of the partially ordered set {2, 3, 4, 5, 6, 7, 8, 9, .…

A: Find which are minimal elements of the partial order set 2, 3, 4, 5, 6, 7, 8, 9, … ordered by…

Q: suppose R has of the set inclusions: (a) Ba(1) C Ba(0) in R (b) B2(1, 1) C Ba(1,0) in R? (c)…

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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: Determine which of the following sets are bases for R3. (a) {(1,0,–1), (2, 5, 1), (0, –4, 3)} (Ъ)…

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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 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 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 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: How many relations are there on the set {a, b, c, d}

A: Introduction: The relation is a subset of the Cartesian product of two sets. Since it is a subset of…

Q: Consider the following sets A = {1,2,3.4,5} and B = {2,3.4}. Which of the following is NOT TRUE? * A…

A: The given sets are          A= {1,2,3,4,5}  and B= { 2,3,4} 1)If two sets are said to be joint set…

Q: Which of the following set S is a spans R": a. S = {(2, 1), (2, 1)} b. S = {(1, 2, 3), (3, 2, 1)} c.…

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Q: d) Let X, Y, Z be sets. Calculate |X UYU Z| if |X| = 50, |Y| = 90, |Z| = 71, |X n Y| = 8, |Xn Z| =…

A: Given that X, Y and Z be the three sets.

Q: suppose R nas tiie acn O the set nclusions: (a) B3(1) C B,(0) in R (b) B2(1, 1) C Ba(1,0) in R? (c)…

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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: Which of the following sets is (are) closed under multiplication? Explain why or why not. d.{0, 1}…

A: (d) the set {0,1} is closed under multiplication, because, 0•0 = 0, 0•1 = 0, 1•0 = 0 &amp;, 1•1 = 1

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”.