2. Let X, Y and Z be sets. A, B are subsets of X. f:X → Y is a function. Prove the given statement if it is true or find a counterexample if it is false." (a). X – (Y – z) = (X – Y) U (X n z). (b). f(A – B) = f(A) – f(B).

2. Let X, Y and Z be sets. A, B are subsets of X. f:X → Y is a function. Prove the given statement if it is true or find a counterexample if it is false." (a). X – (Y – z) = (X – Y) U (X n z). (b). f(A – B) = f(A) – f(B).

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

2.a Thank you as soon as possible please.

2. Let X, Y and Z be sets. A, B are subsets of X. f:X → Y is a function. Prove the given statement if it is true or find a
counterexample if it is false."
(a). X – (Y – Z) = (X – Y) U (X n z).
(b). f(A – B) = f(A) – f(B).

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