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Title: Gaussian Elimination
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Series: Linear Algebra
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Chapter: Matrices and linear systems
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YouTube-Title: Linear Algebra 39 | Gaussian Elimination
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Bright video: https://youtu.be/VpYdBHdgq_U
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Dark video: https://youtu.be/mCm5ZstHFcc
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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: la39_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 first step for the Gaussian elimination for the following system? $$ \left( \begin{array}{ccc|c}1 & 0 & 3 & 0 \ 2 & 1 & 1 & 0 \ 0 & 0 & 1 & 1 \ \end{array} \right) $$
A1: From the second row, we want to subtract 2 times the first row.
A2: From the first row, we want to subtract 2 times the first row.
A3: From the third row, we want to subtract 2 times the first row.
A4: From the second row, we want to subtract 2 times the third row.
A5: From the second row, we want to subtract $\frac{1}{2}$ times the first row.
Q2: What is a solution of the following system? $$ \left( \begin{array}{ccc|c}1 & 0 & 3 & 0 \ 0 & 1 & 1 & 0 \ 0 & 0 & 1 & 1 \ \end{array} \right) $$
A1: $$ \begin{pmatrix} -3 \ -1 \ 1 \end{pmatrix} $$
A2: $$ \begin{pmatrix} 3 \ 1 \ 1 \end{pmatrix} $$
A3: $$ \begin{pmatrix} 1 \ 0 \ 1 \end{pmatrix} $$
A4: $$ \begin{pmatrix} 3 \ 0 \ 1 \end{pmatrix} $$
A5: $$ \begin{pmatrix} 3 \ 0 \ -1 \end{pmatrix} $$
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Last update: 2024-10
