a {[B][B][B][B]} a Why it is a spanning set for R³ but not a linearly independent set. Given that a=1 a a a

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: Let A, = {..., – 2,- 1,0,1,...,i}. Find

A: Ai={..., -2, -1, 0, 1, ......, i} ∩i=1nAi=?

Q: 5 = { [²] [3²] [37] 3 a) Determine if S = is an orthogonal set. b) True or False. If A = ²24 then A…

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Q: Hilda Heinz lends $1200 to her sister Olga at a rate of 9%. Find how long it will take for her…

A: The simple interest is calculated using the formula: Simple interest=P·R·T100, Where, P is the…

Q: 1. Let {v₁,..., Vn} be a linearly dependent set. Prove that there exists some j with 1 ≤ j<n such…

A: Suppose that    be a  linearly  dependentset.Then there exists some   such that where  are  scalars…

Q: QLet (X,t) be a topological space and A,E are two subsets of x show that : 3. A is closed set iff A…

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Q: If vo and V, are respectively the t-conorms that are dual to the t-norms Ao and A5 respectively.…

A: In mathematics, a t-norm (also T-norm or, unabbreviated, triangular norm) is a kind of binary…

Q: Is a R a maximal deal

A: No, it is not necessarily true that aR is a maximal ideal in a commutative ring R with unity. In…

Q: If X is a normed space then the open ball and closed ball is a Example: convex set

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Q: b Let A be a continuous fuzzy quantity. If all the a-cuts of A are closed intervals then show that A…

A: In the question provided it is given that A is a continuous fuzzy quantity. The objective is to show…

Q: Let A = {AC R| A is countable} and A2 = {A C RI A° is countable} which is a measurable space? (IR,…

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Q: Let B = {v1,v2,...,vk} be a set of vectors in the space R5. Which is the maximal number k for which…

A: Given B = v1, v2, ..., vk is a set of vectors in the space ℝ5.

Q: Determine if the set S = {1+ – 2x2, 2 + 5x- a², a + a2 }is linearly independent or linearly…

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Q: Show that the set { 159 is linearly independent

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Q: Why is the set {91 +124t² - 61t³, 66 − 58t +93t², 22 + 248t — 87t² } not a basis for P3(R)? Select…

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Q: (ANB) –C= (A –C)NB.

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Q: Suppose A and B are nonvoid, bounded, disjoint subsets of R. Mark all of the properties that must be…

A: Answer given below.

Q: Let A = O = 1 1-6-2 Find a spanning set of Nul A. 10-2 1 01-4 2 {B8-4) O O none of the choices is…

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Q: denumerable. Apply the definition and prove that the set A = {₁, {} ... } is

A: An infinite set is denumerable if it is equivalent to the set of natural numbers I.e there is a…

Q: Show that for every pair of sets X and Y, the sets X × Y and U {(x, y) | y ≤ Y} xEX are equal.

A:

Q: Let A = {a, b, c, d, and let R be the relation R = {(a, a), (b, b), (c, c), (d, d), (c, b), (a, d),…

A: A relation R on a non empty set A is said to be a Total order if it satisfies the…

Q: Show that; is a linearly independent set in R3.

A: S=121,011,201 Let a,b and c be the scalar in R3. Then write the set in term of linear span.…

Q: 2 Let A be a fixed nonempty subset of set X and I= {Bc X | A Z B}. Show that (X,I) %3D is a matroid.

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Q: Let B be a subset of R¹. Which of the following statements are correct? If B is a base, then |B| =…

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Q: Let X=(X1, X2, X3, X4, X5) and let A be a fuzzy set whose complement is A= ((x3, 1), (x4, 1), (x5,…

A: Given: To explain the correct option of the given statement as follows,

Q: Find the set P([a, b]) x P({0,1)).

A:

Q: Let U be a universal set with subsets A and B such that n(U)=117, n(A)=60, n(B′)=68, n(A∩B)=15,…

A: Given,n(U)=117n(A)=60n(B')=68n(A∩B)=15n(B)=49and n(A∪B)=94

Q: Choose the correct option. Let S be the set of points whose abscissas and ordinates are natural…

A: Let S be the set of points whose abscissas and ordinates are natural numbers. Let P∈S such that the…

Q: Let A and B be sets. Prove that A UB= (A – B) U (B – A) U (A N B).

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Q: Find the rank of A. The rank is not the dimension of the whole output space W. It is…

A: Given that, Find the rank of A. The rank is not the dimension of the whole output space W. It is…

Q: Let A = {0, 1, 2} and let B = {-2, 0, 1, 2}. %3D

A: Given,        A=0, 1, 2, and B=-2, 0, 1, 2

Q: Write out the elements of the set 2X where X= = {1,{0}, Ø, {2,3}}.

A: