Let A = {1,2, 3,4} and R a relation on A whose matrix 1 1 1 1 1 1 is Mr = 1 1 1 1 1 Determine whether R is reflexive, irreflexive, symmetric, asymmetric, antisymmetric, transitive. ( Show your work)

Q: Let R, and R2 be relations on a set A represented by the matrices 1 01 [1 1 0] 1 0 Lo 1 0J [1 = 0 1…

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Q: Let R1 and R2 be relations on a set A represented by the matrices 0 1 07 1 1 1 1 0 0 0 1 = |0 1 1…

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Q: Let R1 and R2 be relations on a set A represented by the matrices 1 0 1 1 1 0 0 0 and MR, 1 MR, 1 1…

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Q: (d) If S,T are symmetric linear operators on an inner product space V, then their composition ST is…

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Q: and MR2 and R,be relations on a set A represented by the matrices MR. Let R1 0 11 100 R, = [1 0 1] 0…

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Q: Let A = {p, q, r, s} and the relation R on A is represented by the matrix (0 0 1 1) 0 1 0 0 . Find…

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Q: Let R1 and R2 be relations on a set A represented by the matrices ГО 1 Mr1 01 1 and Mr2 1 01 0| 1.…

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Q: 6) Let R1 and R2 be relations on a set A such that R1 = {(1, 2), (2, 1), (3, 2), (3, 3)} R2 = {((1,…

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Q: A. Let R be a relation on set A. A={x : x ∊ J and 0 ≤ x ≤ 12}, and R={(a,b) : |a – b| is multiple of…

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Q: Name the collection of ordered pairs in the relations R on (1,2,3,4} corresponding to the matrix 1 1…

A: The given matrix is MR=1110010000111000 Write {1,2,3,4 } on top and left…

Q: A) Let A = {1,2, 3, 4} and R a relations on A whose matrices [1 1 1 1] 0 1 1 1 is MR = %3D 0 011 [o…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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Q: 010 = Let R₁ and R₂ be relations on a set A represented by the matrices MR₁ 1 1 1 and MR₂ = 100 ГА В…

A: Given that R1 and R2 be the relations on set A represented by the matrices…

Q: 4 - Let R be the relation on {a, b, c, d} defined by the following matrix. R is reflexive ? 1 0 1 0…

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Q: 3. Define a mapping T: P3-P3 by. T(f(x))=f(x) Please find the nullity of T. (Hint: Still dx by using…

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Q: (b) Let F1 be the ordered basis of R² given by F1 and let F2 be the ordered basis given by F2 = Find…

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Q: (b)Let A = {1,2,3}, B = {a, b, c}, and C = {x,y, z}. Consider the following %3D relations R and S…

A: Given R=1,b, 2,a, 2,cS=a,y, b,x, c,y, c,z

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Q: Suppose that each of R ad T is a relation on a set A, the matrix for R is MB, and he matrix for T is…

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Q: Let A be a 4 x 4 matrix. Present systematically all cases for the Jordan Canonical Form of A.

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Q: Name the collection of ordered pairs in the relations R on {1,2,3,4} corresponding to the matrix (1…

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Q: Let A be an n x n matrix such that Am = 0 for some positive integer m. Show that A is not…

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Q: Let A = {p, q, r, s} and the relation R on A is represented by the matrix 0 0 1 1 c) 0 1 0 0 MR .…

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Q: 3. Let A, B, T be bounded self-adjoint linear operators on a complex Hilbert space H. If T20 and…

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Q: Suppose that the matrix representation of a relation is given by 1 1 11 0 1 1 1 0 0 1 1 0 0 0 1 MR…

A: Given that the matrix representation of a relation is MR=1111011100110001

Q: A. Let R be a relation on set A. A={x:xeJ and 0 SxS 12), and R={(a,b): a-b is multiple of 2)…

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Q: Let R1 and R2 be relations on a set A represented by the matrices [1 1 01 [1 1 01 0| and MR, MR, Lo…

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Q: Given X = {1,3,5}. R is a relation on X, defined by aR,b if and only if la – bl is an even integer.…

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Q: Let R be a relation on A = {1,2,3,4} such that aRb means %3D - b| < 1. Find the matrix…

A: This question is about application of linear algebra

Q: Let A = {1,2,3, 4} and R a relations on A whose matrices is 1. 1 1 1 1 1 1 MR = |0 0 0 1 1 1 1 0 0 0…

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Q: Let A = {1,2,3,4} and R and S be two relations on A whose matrices are ´1 0 0 1] [1 0 0 1] 1 0 0 1 0…

A: M

Q: 5. Show that T is a linear transformation by finding a matrix that implements the mapping. Note that…

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Q: [1 1 0] = |0 1 1 is li o 1l 1. The relation on a set represented by the matrix MR : A) Reflexive B)…

A: Since in the matrix MR all the elements in the diagonal are 1 by which the matrix MR is reflexive…

Q: 1. Let R, and R2 be relations on a set A represented by the matrices. 1 MR1 0 1 1 1 and MR, 1 1 1 1…

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Q: b) Let A = {1, 2, 3, 4} and R be a relation on A described by the matrix below. [1 0 0 1] 0 0 0 1 MR…

A: b) i. For the given set A and for the relation R, we have it in the form of matrices as…

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Q: Exercise 5: A. Represent each of these relations on {1, 2, 3} with a matrix (with the elements of…

A: PART A a) { (1,1) , (1,2) , (1,3) } In the matrix form, 111213 b) { (1,2),(2,1),(2,2),(3,3)} In the…

Q: matrix of the transitive closure

A: We have to find find out the matrix of the transitive closure of R. It is given that…