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Proving a Function is One-to-One and Onto
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This video gives an example of how to show that a function is both 1-1(injective) and onto(surjective). In other words we show that the function is a one-to-one correspondence(bijection). The example given involves a function which maps the set of all 2 x 2 matrices with real entries into the set of all 4-tuples. I hope this helps someone who is learning about functions and proofs.
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If you enjoyed this video please consider liking, sharing, and subscribing.
There are several ways that you can help support my channel:)
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Abstract Algebra Course
Advanced Calculus Course
Calculus 1 Course
Calculus 2 Course
Calculus 3 Course
Calculus 1 Lectures with Assignments and a Final Exam
Calculus Integration Insanity
Differential Equations Course
Differential Equations Lectures Course (Includes Assignments + Final Exam)
College Algebra Course
How to Write Proofs with Sets Course
How to Write Proofs with Functions Course
Trigonometry 1 Course
Trigonometry 2 Course
Statistics with StatCrunch Course
Math Graduate Programs, Applying, Advice, Motivation
Daily Devotionals for Motivation with The Math Sorcerer
Thank you:)
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