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Title: Identities and Inverses
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Series: Algebra
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YouTube-Title: Algebra 3 | Identities and Inverses
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Bright video: https://youtu.be/yVSwCTd8lSo
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Dark video: https://youtu.be/JH8G6yjUeNE
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Ad-free video: Watch Vimeo video
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Quiz: Test your knowledge
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Dark-PDF: Download PDF version of the dark video
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Print-PDF: Download printable PDF version
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Thumbnail (bright): Download PNG
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Thumbnail (dark): Download PNG
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Subtitle on GitHub: alg03_sub_eng.srt missing
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Timestamps (n/a)
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Subtitle in English (n/a)
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Quiz Content
Q1: Consider a semigroup with only one element $a$. What is correct?
A1: $a$ is an identity.
A2: $a$ is not a left neutral element.
A3: $a$ is not a right identity.
Q2: Consider the function set $\mathcal{F}([0,1])$ together with the composition. Is $f(x) = \frac{1}{2} x^2$ right-invertible?
A1: No, it’s not because the function is not surjective.
A2: Yes, it is.
A3: No, it’s not because the function is not injective.
Q3: Consider the function set $\mathcal{F}([0,1])$ together with the composition. Is $f(x) = \frac{1}{2} x^2$ left-invertible?
A1: No, it’s not because the function is not surjective.
A2: Yes, it is.
A3: No, it’s not because the function is not injective.
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Last update: 2024-11
