Question 4 ($2 Q10] Determine whether the following relation is a function from R into R. Also deter- mine whether that function is a one to one and onto function. (a) {(r, y) : x, Y E R, cy = 10}; (b) {(x,y) : x, Y E R, y = 3x" – 5}. | Question 5 [$2 Q6, very difficult] If a, b € R such that a < b, find n=1

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 30EQ
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Question 4 [$2 Q10]
Determine whether the following relation is a function from R into R. Also deter-
mine whether that function is a one to one and onto function.
(a) {(x, y) : x, Y E R, ry = 10};
(b) {(x, y) : x, y E R, y = 3x" – 5}.
Question 5 [§2 Q6, very difficult]
If a, b € R such that a < b, find
n=1
Transcribed Image Text:Question 4 [$2 Q10] Determine whether the following relation is a function from R into R. Also deter- mine whether that function is a one to one and onto function. (a) {(x, y) : x, Y E R, ry = 10}; (b) {(x, y) : x, y E R, y = 3x" – 5}. Question 5 [§2 Q6, very difficult] If a, b € R such that a < b, find n=1
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