This question concerns the following two subsets of R4.noitulos won ni S = {(0,1,3,2), (1,0, 1,0), (1,-1,-1,-1)}, ១រ.ខ... ed T= {(a, b, a+b+c, c): a, b, c = R}. stoodTa'quaralelques cl) elm bus ansool? (a) Show that SCT, and write down a vector in R4 that does not belong 99 99 to T. GRAND oy nadw and all (200 (b) Show that T is a subspace of R4 d FOR lantam 101) medaus Ja by sond Todu odr (c) Show that S is a basis for T, and state the dimension of T. cut saut to tavoms 943 Sabm UCT & DOY Gvin (d) Show that two of the vectors in S are orthogonal. Without using the mo Gram-Schmidt orthogonalisation, find an orthogonal basis for T.

Q: 4. Let B = {1, 2, 3, 4, 3, 2, 1}. What is |B|?

A: We will solve the following

Q: B. Evaluate each. 1. C(8,4) 5. C(8,4) C(7,5) 22. C(5,0) 3. C(4,4) 4. C(11,3) C(7,4) 6. C(8,2) C(6,2)…

A: As per the guideline I’m supposed to solve only three sub-parts of the given problems.As we know…

Q: 3. Given the set A=(3,6,9, 12) B=(2,4,6,8, 10, 12) U= {1, 2, 3, 4, 5, 6, 8, 9, 10, 12) a. Find: i. A…

A:

Q: -8 -2 -9 6 4 4 0 4 w is in Col A. Is w in Nul A? Let A = 8 and w= 27 -2 Determine if

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Q: Let V = { a, e, i, o, u } andB = { a, i, k, u}. Find V – B and B – V

A: V-B= elements those lie in V but not in B  Hence, V-B={e,o}

Q: 8. Show that the set (0, 1) – {1/2, 1/3, 1/4, -..} is uncountable.

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Q: Let A = (1, 2,3,4, 5) and B = (0, 3, 6). Match the given sets on the left to the sets on the right.…

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Q: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

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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: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

A: The set A∩B is defined as A∩B=x|x∈A and x∈B The set A-B is defined as A-B=x|x∈A and x∉B Two sets are…

Q: Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A = {2, 6, 10), and B = {6, 9, 10}. Find a. A UB b. An B…

A: Recall  the fact that  if  be any universal set. Then, for any set  the complement of   is  denoted…

Q: Let A = (2,3, 4, 6, 7) and B= (1,2,3,5,6). WW hat is A n B' ? (4,7) Osomething else (1.2,34,7)…

A: We have given that  A = { 2, 3, 4, 6, 7 } and B = { 1, 2, 3, 5, 6 }.

Q: Let A = {1,2,3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B. Why?

A: Given A=1,2,3,4B=a,b,c,d,e

Q: Evaluate 9! 10! а. 6! - 3! b. с. 4!(10-4 )! 9! 10!

A: Note: We are allowed to solve one question/three subparts at a time so kindly upload remaining parts…

Q: A = {c, v, x} B = {f, v, x} Let %3D Find A U B. ..... Select the correct choice below and, if…

A: A union B involve all elements of A and B without repeating