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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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Quiz: Test your knowledge
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Subtitle on GitHub: la39_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: 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:
$$ \begin{pmatrix} 3 \\ 0 \\ -1 \end{pmatrix} $$ -
Last update: 2026-04
