Suppose A = {a1, . . . , am} and B = {b1, . . . , bn}. How many relations are there from A to B? Hint: Count the number of m × n matrices with (0,1)-entries. If R is a relation from A to B we define the inverse relation R^-1 from B to A by bR^-1a whenever aRb

Suppose A = {a1, . . . , am} and B = {b1, . . . , bn}. How many relations are there from A to B? Hint: Count the number of m × n matrices with (0,1)-entries. If R is a relation from A to B we define the inverse relation R^-1 from B to A by bR^-1a whenever aRb

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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Question

Suppose A = {a1, . . . , am} and B = {b1, . . . , bn}. How many relations are there
from A to B? Hint: Count the number of m × n matrices with (0,1)-entries.
If R is a relation from A to B we define the inverse relation R^-1 from B to A by bR^-1a whenever aRb.

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