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Title: Row Operations
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Series: Linear Algebra
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Chapter: Matrices and linear systems
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YouTube-Title: Linear Algebra 37 | Row Operations
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Bright video: https://youtu.be/3rnWqjTdQM0
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Dark video: https://youtu.be/VupBUH8WeIw
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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: la37_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: If you multiply the matrix $$\begin{pmatrix} 1 & 0 & 0 \ 0 & 0 & 1 \ 0 & 1 & 0 \end{pmatrix}$$ from left to a matrix $A \in \mathbb{R}^{3 \times 5}$, what will happen?
A1: The second and third row of $A$ will be exchanged.
A2: Nothing. The restult will be $A$ again.
A3: The first and second row of $A$ will be exchanged.
A4: The first and second column of $A$ will be exchanged.
A5: The last row $A$ will be deleted.
Q2: If you multiply the matrix $$\begin{pmatrix} 1 & 0 & 0 \ 2 & 1 & 0 \ 0 & 0 & 1 \end{pmatrix}$$ from left to a matrix $A \in \mathbb{R}^{3 \times 5}$, what will happen?
A1: The second row of $A$ will be replaced by a new row which is given as: ‘second of $A$ + 2 times first row of $A$’
A2: Nothing. The restult will be $A$ again.
A3: The second row of $A$ will be replaced by a new row which is given as: ’third of $A$ + 2 times second row of $A$'
A4: The first and second column of $A$ will be exchanged.
A5: The second row of $A$ is replaced by the first row of $A$.
Q3: If you multiply the matrix $$\begin{pmatrix} 1 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 0 \end{pmatrix}$$ from left to a matrix $A \in \mathbb{R}^{3 \times 5}$, what will happen?
A1: The last row of $A$ will be deleted.
A2: Nothing. The restult will be $A$ again.
A3: The second row of $A$ will be replaced by a new row which is given as: ’third of $A$ + 2 times second row of $A$'
A4: The first and second column of $A$ will be exchanged.
A5: The second row of $A$ is replaced by the first row of $A$.
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Last update: 2024-10