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Title: Examples for Subspaces
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Series: Linear Algebra
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Chapter: Vectors in $ \mathbb{R}^n $
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YouTube-Title: Linear Algebra 7 | Examples for Subspaces
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Bright video: https://youtu.be/gVQCXMbw098
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Dark video: https://youtu.be/0c2nHH03JdE
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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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Exercise Download PDF sheets
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Thumbnail (bright): Download PNG
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Thumbnail (dark): Download PNG
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Subtitle on GitHub: la07_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: Is the set $U$ given by $$ \left{ \begin{pmatrix} x_1 \ x_2 \ x_3 \end{pmatrix} ~\bigg|~ x_1 = - x_2 \text{, } x_3 = 2 x_2 \right}$$ a subspace of $\mathbb{R}^3$?
A1: Yes!
A2: No!
A3: One needs more information.
Q2: Is the set $U$ given by $$\left{ \begin{pmatrix} x_1 \ x_2 \ x_3 \end{pmatrix}~\bigg|~ x_1 = - x_2^3 \text{, } x_3 = 0 \right}$$ a subspace of $\mathbb{R}^3$?
A1: No!
A2: Yes!
A3: One needs more information.
Q3: Is the set $U$ given by $$\left{ \begin{pmatrix} x_1 \ x_2 \ x_3 \end{pmatrix}~\bigg|~ \begin{matrix} \exp(x_1) - 1 = x_2 \text{, }\ x_2^2 + x_3^2 = 0 \end{matrix} \right}$$ a subspace of $\mathbb{R}^3$?
A1: Yes!
A2: No!
A3: One needs more information.
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Last update: 2024-10
