1. Suppose the relation R on {1, 2, 3, 4, 5} defined by (x, y) € R, if X

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1. Suppose the relation R on {1, 2, 3, 4, 5} defined by (x, y) E R, if x² sy+20 (a) Write the relation R. (b) Find the domain and range. (c) Obtain its matrix representation. (d) Draw the graph of R. (e) Determine the in and out - degree of its vertices.

1. Suppose the relation R on {1, 2, 3, 4, 5} defined by (x, y) E R, if x² sy+20 (a) Write the relation R. (b) Find the domain and range. (c) Obtain its matrix representation. (d) Draw the graph of R. (e) Determine the in and out - degree of its vertices.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 28EQ

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Question

1. Suppose the relation R on {1, 2, 3, 4, 5} defined by (x, y) € R, if X<y+20
(d) Draw the graph of R.
(e) Determine the in and
out – degree of its vertices.
(a) Write the relation R.
(b) Find the domain and range.
(c) Obtain its matrix representation.
2. Let A = {1, 2, 3, 4, 5, 6, 8} and R be defined on A by aRb A a divides b.
Find the following:
(a) The relation R.
(b) Domain and range.
(c) Matrix R.
(d) Graph of R.
(e) In and out – degree of its vertices.

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