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Title: Matrix Product
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Series: Linear Algebra
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Chapter: Matrices and linear systems
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YouTube-Title: Linear Algebra 16 | Matrix Product
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Bright video: https://youtu.be/8R0BdG9XnAk
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Dark video: https://youtu.be/RQxqdlqhH-Y
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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: la16_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: Let $A,B$ be matrices given by $A = \begin{pmatrix} 1 & 2 & 3 \ 0 & 1 & 2 \end{pmatrix} $ and $B = \begin{pmatrix} 1 & 2 \ 1 & 2 \end{pmatrix}$. Which claim is correct?
A1: The matrix product $B A$ is well-defined.
A2: The matrix product $A B$ is well-defined.
A3: The matrix product $A A$ is well-defined.
A4: The matrix product $B B$ is equal to $A$.
Q2: Let $A,B$ be matrices given by $A = \begin{pmatrix} 1 & 0 \ 0 & 1 \end{pmatrix}$ and $B = \begin{pmatrix} 1 & 2 & 3 \ 0 & 1 & 2 \end{pmatrix} $. What is the matrix product $AB$?
A1: $B$
A2: $A$
A3: $\begin{pmatrix} 1 & 1 \ 0 & 1 \end{pmatrix}$
A4: $\begin{pmatrix} 1 & 2 & 2 \ 2 & 1 & 2 \end{pmatrix} $
A5: $0$
Q3: Let $A,B$ be matrices given by $A = \begin{pmatrix} 1 & -1 \ -1 & 1 \end{pmatrix}$ and $B = \begin{pmatrix} 1 & 2 \ 0 & 1 \end{pmatrix} $ and . What is the matrix product $AB$?
A1: $\begin{pmatrix} 1 & 1 \ -1 & -1 \end{pmatrix}$
A2: $\begin{pmatrix} 1 & 1 \ 0 & 1 \end{pmatrix}$
A3: $\begin{pmatrix} 1 & 1 \ 1 & 1 \end{pmatrix}$
A4: $\begin{pmatrix} 1 & 1 \ -1 & 1 \end{pmatrix}$
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Last update: 2024-10
