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: 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: 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: 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: 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: 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.

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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: 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)).

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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: 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