7. Suppose that R = {(x, y)|x + y <7}; R, is a relation from X to Y, R2 = {(y,z)|y = z + 1}; R2 is a relation from Y to Z; ordering of X,Y and Z: 1,2,3,4,5,6. Find a) the matrix A, of the relation R1(relative to the given orderings) b) the matrix A2 of the relation R2(relative to the given orderings) c) The matrix product A,A2 d) Use part c) to find the matrix of relation R2 R1 e) Use the result of part d to find the relation R2 • R1(as a set of ordered pairs) f) Use matrix A, to decide if R1 is a partial order

7. Suppose that R = {(x, y)|x + y <7}; R, is a relation from X to Y, R2 = {(y,z)|y = z + 1}; R2 is a relation from Y to Z; ordering of X,Y and Z: 1,2,3,4,5,6. Find a) the matrix A, of the relation R1(relative to the given orderings) b) the matrix A2 of the relation R2(relative to the given orderings) c) The matrix product A,A2 d) Use part c) to find the matrix of relation R2 R1 e) Use the result of part d to find the relation R2 • R1(as a set of ordered pairs) f) Use matrix A, to decide if R1 is a partial order

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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