19. Suppose f : X →Y is a function. Which of the following are possible? Explain. a. f is injective but not surjective. b. fis surjective but not injective. C. X = |Y| and f is injective but not surjective. d. X = |Y| and f is surjective but not injective. е. |X| = |Y|, X and Y are finite, and f is injective but not surjective. f. X= |Y|, X and Y are finite, and f is surjecive but not injective.
19. Suppose f : X →Y is a function. Which of the following are possible? Explain. a. f is injective but not surjective. b. fis surjective but not injective. C. X = |Y| and f is injective but not surjective. d. X = |Y| and f is surjective but not injective. е. |X| = |Y|, X and Y are finite, and f is injective but not surjective. f. X= |Y|, X and Y are finite, and f is surjecive but not injective.
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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Can you explain or give a detail example of (e) and (f) for me. I actually tried to understand it but it is still difficult for me...Give me a good example!
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