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Title: Spectrum of Triangular Matrices
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Series: Linear Algebra
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Chapter: Eigenvalues and similar things
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YouTube-Title: Linear Algebra 57 | Spectrum of Triangular Matrices
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Bright video: Watch on YouTube
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Dark video: Watch on YouTube
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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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Thumbnail (bright): Download PNG
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Thumbnail (dark): Download PNG
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Subtitle on GitHub: la57_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 $A \in \mathbb{R}^{3 \times 3}$ be a square matrix with $$ A = \begin{pmatrix} 2 & 4 & 7 \ 0 & 4 & 8 \ 0 & 0 & 2 \end{pmatrix} $$ What is the spectrum of $A$?
A1: ${ 2, 4 }$
A2: ${1, 2, 4 }$
A3: ${2, 4, 8 }$
A4: ${2, 4, 7, 8 }$
Q2: Let $A \in \mathbb{R}^{5 \times 5}$ be a square matrix with $$ A = \begin{pmatrix} 2 & 0 & 0 & 0 & 0 \ 7 & 5 & 0 & 0 & 0 \2 & 1 & 1 & 5 & 3 \ 6 & 1 & 0 & 7 & 3 \ 4 & 3 & 0 & 0 & 2 \end{pmatrix} $$ What is the spectrum of $A$?
A1: ${1, 2, 5, 7 }$
A2: ${1, 2, 5, 6 }$
A3: ${1, 2, 4, 5, 6, 7 }$
A4: ${1, 2, 3, 5, 7 }$
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Last update: 2024-10
