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 A) Show that (A, R) is a poset B) Draw the Hasse diagram C) Find maximal, minimal, least and greatest if they exist

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Q: Let R, and R2 be relations on a set A represented by the matrices 1 01 1 and MR2 [1 1 01 MR. 1 1 1…

A: The matrix of the composition of relations is calculated as the productof matrices.

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A: Option (b) is correct.

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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…

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Q: 5) Let V be the vectar space of matrices defired in R. A, BiC EV A=[],B=].c=[3] B=[],c=[%] Show that…

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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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A: our objective is to conclude

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Q: Let R1 and R2 be the relations represented in the matrix. 1001 11 1 1 1 1 1 11 0 1 0 0 0 1 1 0 1 0…

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Q: 20) Let W be the vector space of all symmetric 2 x 2 matrices. Show that W sisomorphic to R³

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Q: Let A = {a, b, c, d} and let R and S be the relations on A whose matrices are (1 0 1 0` 0 1 0 1 (1 0…

A: let A=a,b,c,d and let R and S be the relations on A whose matrices are  MR=1010010110100101 and…

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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…

A: Please find the detailed solution in the next step

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 .…

A: As per the guidelines, I am supposed to do the first problem only. Kindly pst the other question…

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Q: Let R1 and R2 be the relations represented in the matrix. 111 1 100 1 0 1 1 1 11 0 0 0 1 1 0 1 0 R1…

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Q: Let A be an n × n matrix and α a scalar. Show that det(αA) = αn det(A)

A: If A is a n×n matrix and 'α' is a scalar,  Then to prove,  det(αΑ) = αn det(A)

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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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: 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

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Q: Let R1 and R2 be relations on a set A represented by the matrices below: Mr1 = 1 1 1 1 1 0 0 Mr2 = 0…

A: Given: