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Title: Solving Systems of Linear Equations (Introduction)
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Series: Linear Algebra
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Chapter: Matrices and linear systems
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YouTube-Title: Linear Algebra 36 | Solving Systems of Linear Equations (Introduction)
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Bright video: Watch on YouTube
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Dark video: Watch on YouTube
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Original video for YT-Members (bright): Watch on YouTube
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Original video for YT-Members (dark): Watch on YouTube
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Forum: Ask a question in Mattermost
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Quiz: Test your knowledge
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Thumbnail (dark): Download PNG
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Subtitle on GitHub: la36_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 solution set of the linear equation $2x_1 - x_2 = 0$ in $\mathbb{R}^2$?
A1: ${ \mathbf{x} \in \mathbb{R}^2 \mid 2 x_1 = x_2 } $
A2: ${ \mathbf{x} \in \mathbb{R}^2 \mid x_1 = 2 x_2 } $
A3: ${ \mathbf{x} \in \mathbb{R}^2 \mid x_1 = 0 } $
A4: ${ \mathbf{x} \in \mathbb{R}^2 \mid x_1 = \frac{1}{2}, x_2 = 1 } $
A5: ${ \mathbf{x} \in \mathbb{R}^2 \mid x_1 = x_2 } $
Q2: What is the solution set for the system $$ \begin{matrix} x_1 + x_2 = 1 \ x_1 - x_2 = 1 \end{matrix} $$
A1: $\left{ \begin{pmatrix} 1 \ 0 \end{pmatrix} \right}$
A2: $\left{ \begin{pmatrix} 0 \ 1 \end{pmatrix} \right}$
A3: ${ \mathbf{x} \in \mathbb{R}^2 \mid x_1 = 1 } $
A4: ${ \mathbf{x} \in \mathbb{R}^2 \mid x_2 = 0 } $
A5: $\emptyset$
Q3: What is the solution set for the system $$ \begin{matrix} x_1 + 2 x_2 = 0 \ x_1 + 2 x_2 = 1 \end{matrix} $$
A1: $\emptyset$
A2: $\left{ \begin{pmatrix} 0 \ 1 \end{pmatrix} \right}$
A3: ${ \mathbf{x} \in \mathbb{R}^2 \mid x_1 = 1 } $
A4: ${ \mathbf{x} \in \mathbb{R}^2 \mid x_2 = 0 } $
A5: $\left{ \begin{pmatrix} \frac{1}{2} \ 1 \end{pmatrix} \right}$
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Last update: 2024-10
