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Title: Gaussian Elimination for Determinants
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Series: Linear Algebra
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Chapter: Determinants
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YouTube-Title: Linear Algebra 50 | Gaussian Elimination for Determinants
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Bright video: https://youtu.be/Wfx_1d91roI
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Dark video: https://youtu.be/qMU1wHa8ZTw
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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: la50_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: Do the following to matrices have the same determinant? $$A = \left( \begin{array}{cccc}1 & 0 & 3 & 0 \ 0 & 3 & 1 & 0 \ 2 & 0 & 1 & 2 \ 5 & 0 & 1 & 1 \\end{array} \right) $$ $$B = \left( \begin{array}{cccc}1 & 1 & 3 & 0 \ 0 & 3 & 1 & 0 \ 2 & 2 & 1 & 2 \ 5 & 5 & 1 & 1 \\end{array} \right) $$
A1: Yes!
A2: No!
A3: One needs more information.
Q2: Assume $A \in \mathbb{R}^{4 \times 4}$ has determinant $3$ and $B = 2\cdot A$. What is the determinant of $B$?
A1: $48$
A2: $16$
A3: $3$
A4: $4$
A5: $12$
A6: One needs more information.
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Last update: 2024-10
