[0 1 01 [1 1 0] = 0 1 li 1 MR, = |1 0 1and MR, Lo 1 ol Find the matrix representation of R2 • R1.

Q: Write down all elements of {I, J, K} x {W, X}. (Enter your answer in set notation.)…

A: The given problem is to find the Cartesian product of the given sets {I,J,K} and {W,X}.

Q: If A and B are sets, and A = B, then A and B cannot be disjoint. True False

A: Given that If A and B are sets and A=B then A and B cannot be disjoint.

Q: Find an orthogonal set with the same span (and same number of elements) as 7 -5 4 4 7 (198) -10 -8…

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Q: 1. Suppose we would like to define a function f : Q→ Z by the formula f(r) = a +b, where a, b € Z…

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Q: b. Explain that is {(1, 3), (2, 2), (3, 1)} a permutation function on set A = {1, 2, 3}? if it is a…

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Q: A cB then the class {AUB,B-A ,A°Y is pairwise disjoint. If

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Q: Consider the relations R = {(1,5), (2, 2), C S%3D { (2,4), (3, 4), С T3 {(1,4), (3, 5), С on the set…

A: The solution is given below.

Q: The set {[1 -1 3], [2 3 -2], [3 2 1], [0 0 0]} spans صواب İhi

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Q: Let G={1,-1,i,-i} with usual multiplication then G is isomorphic to Select one: a. Z, x Z, b. (Z, +)…

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Q: Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that(i) A × (B ∩ C) = (A ×…

A: i) Answer(i) A × (B ∩ C) = (A × B) ∩ (A × C) (proved)

Q: If #: $ a,b,c} which of these celations are a funchion? Emplain, cab) CS

A: Solution : Given :    A= {a, b, c}  Set of relations are      a)    { (a, b), (b, c), (c, c) }…

Q: Let A= (1,2, 3, 4}, let B= {a, b, c, d}, and let P(A) denote the set of all subsets of A. Determine…

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Q: Let a, b € N. Choose all correct statements. O gcd(-a, b) = gcd(a, -b) O ged(2a – b, a + b) =…

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Q: Let A= {0,1,2,3,4} and a partition of A be: {0,2},{1},{3,4} (a) Write all pairs of the relation…

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Q: Example 68: (R, +,.) and (Q.+,.) are fieleds. (H.W)

A: I have proved the definition of field

Q: Determine if v is in the set spanned by the columns

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Q: Given R, = {(1, 2), (2, 3), (3, 4)} R2 = {(1, 1), (1, 2).(2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3,…

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Q: work): Evaluate the det(A) using any method (but make sure to show your A -2 3 -12 12 -14 19 -20 31…

A: Given:The matrix is given by .To Find:We have to find the determinant of the matrix .

Q: Let R and S be relations defined on the set of {9,3, 1,0}. R = {(1,1), (9, 3), (1,3), (9,0)}. S =…

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

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Q: Determine the orders of the elements of D∞

A: It is known that, D∞=a,b|a2=b2=e also it can be observed that, D∞=abka,abk,bak,bakb Let x∈D∞. If…

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A: Given (R∪S)-T The solution for (R∪S) is as follows ∪(a,b,c)←R(a,b,c) OR S(a,b,c)--------(i) The…

Q: List all the possible subsets of set G, where G = {-7,m,z}- %3D

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Q: How many symmetric relations on the set A = {1,2, 3, 4, 5, 6, 7, 8} contain the ordered pairs (2,…

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Q: Show that the set { 159 is linearly independent

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Q: Plz explain properly.

A: The objective of this question is to find the Cartesian product of sets A and B, the relations R and…

Q: Consider an indexed family of sets. B={Bn:neN}, where Bn = {2n, 2n + 1, 2n+2, ..., 3n}. (a) Write…

A:

Q: Find two sets A and B such that A E B and AB.

A: A=ϕ. And B={ϕ}Explanation:If you have any problem let me know here in comment box for this thankyou.

Q: Let A = {1,3} and B = {2,4}. (a) Draw a picture of the set A × B. (b) Compute P(A × B).

A:

Q: Let U = { 1,4,5,7,9} A = { 1,4,7} B = {3,5} Determine B X A

A: Given Let U = { 1,4,5,7,9} A = { 1,4,7} B = {3,5}

Q: II. Identify the correspondence in the following relations 8 3 1.) 5 2.) 5 4 3 4 8 8 4.) -2 -3 -4 -5…

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Q: Show R³ is a banach space.

A: Banach space: A complete normed linear space is called Banach space. Given: To show:  is a Banach…

Q: Let A = [1,2,3,4; 0,0,1,-1; 2,0,0,-3;1,2,2,5] Determine the rank of A.

A: Consider the given matrix A,