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Title: Special Matrices
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Series: Linear Algebra
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Chapter: Matrices and linear systems
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YouTube-Title: Linear Algebra 13 | Special Matrices
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Bright video: https://youtu.be/QWgrKZTbmI8
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Dark video: https://youtu.be/GJrb55b6FCU
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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: la13_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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Definitions in the video: diagonal matrix, upper triagular matrix, lower triagular matrix, symmetric matrix, skew-symmetric matrix
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Timestamps (n/a)
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Subtitle in English (n/a)
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Quiz Content
Q1: Which of the following matrices is not a diagonal matrix?
A1: $$ \begin{pmatrix} 2 & 1 & 0 \ 0 & 0 & 0 \end{pmatrix} $$
A2: $$ \begin{pmatrix} 2 & 0 & 0 \ 0 & 1 & 0 \end{pmatrix} $$
A3: $$ \begin{pmatrix} 2 & 0 \ 0 & 1 \ 0 & 0 \end{pmatrix} $$
A4: $$ \begin{pmatrix} 2 & 0 & 0 \ 0 & 3 & 0 \ 0 & 0 & 1 \end{pmatrix} $$
A5: $$ \begin{pmatrix} 2 & 0 & 0 \ 0 & 0 & 0 \ 0 & 0 & 1 \end{pmatrix} $$
Q2: Which of the following matrices is not an upper triagonal matrix?
A1: $$ \begin{pmatrix} 2 & 1 & 0 \ 1 & 0 & 0 \end{pmatrix} $$
A2: $$ \begin{pmatrix} 2 & 1 \ 0 & 1 \end{pmatrix} $$
A3: $$ \begin{pmatrix} 2 & 0 \ 0 & 1 \end{pmatrix} $$
A4: $$ \begin{pmatrix} 2 & 0 & 0 \ 0 & 3 & 0 \ 0 & 0 & 1 \end{pmatrix} $$
A5: $$ \begin{pmatrix} 2 & 5 & 5 \ 0 & 4 & 7 \ 0 & 0 & 1 \end{pmatrix} $$
Q3: Which of the following matrices is not a symmetric matrix?
A1: $$ \begin{pmatrix} 2 & 1\ 0 & 1 \end{pmatrix} $$
A2: $$ \begin{pmatrix} 2 & 0 \ 0 & 1 \end{pmatrix} $$
A3: $$ \begin{pmatrix} 2 & 0 \ 0 & 2 \end{pmatrix} $$
A4: $$ \begin{pmatrix} 2 & 0 & 0 \ 0 & 3 & 0 \ 0 & 0 & 1 \end{pmatrix} $$
A5: $$ \begin{pmatrix} 2 & 0 & -1 \ 0 & 0 & 0 \ -1 & 0 & 1 \end{pmatrix} $$
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Last update: 2024-10
