In an algebra book you read the following definition: The function g : Y → X is the inverse of the function f : X → Y if the two diagrams in Figure 1.9 commute. Is this any different from our definition of inverses? Can you draw one diagram—with four nodes and five arrows—that is commutative if and only if g is the inverse of f?

In an algebra book you read the following definition: The function g : Y → X is the inverse of the function f : X → Y if the two diagrams in Figure 1.9 commute. Is this any different from our definition of inverses? Can you draw one diagram—with four nodes and five arrows—that is commutative if and only if g is the inverse of f?

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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EMCQ 8
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