Answered: Decisions with correct justification…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Decisions with correct justification about the following relationship R: A → B is a function or not:

А — {а, b, с, d, е}, В — {1, 2, 3}
R%3D { (a, 1), (b, 3), (с, 2), (с, 3), (е, 2)}.

Expert Solution

Concepts

Cartesian product:

Given two sets A and B (might not be distinct), the Cartesian product is defined as the set $\{(a, b) a \in A and b \in B\}$ and is denoted by $A \times B .$

Relation:

A relation R is a subset of $A \times B .$ It groups elements of $A \times B$ based on some rule into a set.

Function:

A function f is a special type of relation defined on $A \times B$ that satisfies the following properties:

for every $x \in A, there exists a pair (x, y) ∈ f$
for each $x \in A, there exists exactly one y \in B such that (x, y) ∈ f$

A is said to be the domain of f while B is called the co-domain of f.

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Truth Tables$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions