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Title: Determinant for Linear Maps
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Series: Linear Algebra
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Chapter: Determinants
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YouTube-Title: Linear Algebra 51 | Determinant for Linear Maps
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Bright video: Watch on YouTube
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Dark video: Watch on YouTube
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Ad-free video: Watch Vimeo video
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Forum: Ask a question in Mattermost
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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: la51_sub_eng.srt missing
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Download bright video: Link on Vimeo
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Download dark video: Link on Vimeo
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Timestamps (n/a)
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Subtitle in English (n/a)
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Quiz Content
Q1: What is the determinant of the map $f: \mathbb{R} \rightarrow \mathbb{R}$ given by $f(x) = 3x$.
A1: $3$
A2: $0$
A3: $x$
A4: $x-3$
A5: It’s not defined!
Q2: What is the determinant of the map $f: \mathbb{R} \rightarrow \mathbb{R}$ given by $f(x) = x^2$.
A1: $3$
A2: $0$
A3: $x$
A4: $x-3$
A5: It’s not defined!
Q3: Let $f,g: \mathbb{R}^n \rightarrow \mathbb{R}^n$ be linear maps with $\det(f) = -5$ and $\det(g) = -2$. What is the determinant of $f \circ g$?
A1: 10
A2: 4
A3: -2
A4: -5
A5: 0
A6: One needs more information.
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Last update: 2024-10
