-
Title: Spectrum of Triangular Matrices
-
Series: Linear Algebra
-
Chapter: Eigenvalues and similar things
-
YouTube-Title: Linear Algebra 57 | Spectrum of Triangular Matrices
-
Bright video: Watch on YouTube
-
Dark video: Watch on YouTube
-
Ad-free video: Watch Vimeo video
-
Forum: Ask a question in Mattermost
-
Quiz: Test your knowledge
-
Dark-PDF: Download PDF version of the dark video
-
Print-PDF: Download printable PDF version
-
Thumbnail (bright): Download PNG
-
Thumbnail (dark): Download PNG
-
Subtitle on GitHub: la57_sub_eng.srt missing
-
Download bright video: Link on Vimeo
-
Download dark video: Link on Vimeo
-
Timestamps (n/a)
-
Subtitle in English (n/a)
-
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: $\{1, 2, 3, 5, 7 \}$
-
Last update: 2024-10
