List questions from characteristic-polynomial

Published on 25 Apr 2021 - 12:38

36

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Diagonalization of a particular matrix

Published on 27 Apr 2021 - 20:46

134

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A little bit of trouble computing the characteristic polynomial of a matrix?

Published on 29 Apr 2021 - 2:53

179

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using general form of characteristic polynomial to determine equation for 3*3 matrix

Published on 29 Apr 2021 - 14:31

228

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Finding polynomial to the power of 2020

Published on 25 Mar 2026 - 22:11

118

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Jordan Normal Form Exercise

Published on 02 May 2021 - 17:34

255

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Establish if True or False: Any polynomial of degree $n$ with leading coefficient $(-1)^n$ is the characteristic polynomial

Published on 25 Mar 2026 - 22:05

106

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Find the characteristic polynomial, given the square of a matrix

Published on 06 May 2021 - 17:23

218

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Find the characteristic polynomial $f(t)$ of $T$, where $T(a,b,c,d) = (a+b,b-c,a+c,a+d)$

Published on 12 May 2021 - 0:47

883

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Characteristic Polynomial of an idempotent matrix.

Published on 12 May 2021 - 9:33

114

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Linear Transformation $T:\mathbb{R}^3 \rightarrow \mathbb{R}^3$, $T^3=T$, $T^2 \neq T$, $T^2\neq I$

Published on 13 May 2021 - 19:38

51

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Linear Algebra: links between rank and characteristic polynomial

Published on 15 May 2021 - 14:36

293

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Show that every triangular $3\times3$ matrix $A$ satisfies $(A-\lambda_1 I)(A-\lambda_2 I)(A-\lambda_3 I)=0$, where $\lambda_i$ are eigenvalues of $A$

Published on 17 May 2021 - 18:42

277

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Minimal Polynomial Exercise

Published on 18 May 2021 - 11:08

45

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$n× n$ matrix being non diagonalisable.

Published on 21 May 2021 - 20:29

List Question

Minimal and characteristic polynomial of $\phi$

Diagonalization of a particular matrix

A little bit of trouble computing the characteristic polynomial of a matrix?

using general form of characteristic polynomial to determine equation for 3*3 matrix

Finding polynomial to the power of 2020

Jordan Normal Form Exercise

Establish if True or False: Any polynomial of degree $n$ with leading coefficient $(-1)^n$ is the characteristic polynomial

Find the characteristic polynomial, given the square of a matrix

Find the characteristic polynomial $f(t)$ of $T$, where $T(a,b,c,d) = (a+b,b-c,a+c,a+d)$

Characteristic Polynomial of an idempotent matrix.

Linear Transformation $T:\mathbb{R}^3 \rightarrow \mathbb{R}^3$, $T^3=T$, $T^2 \neq T$, $T^2\neq I$

Linear Algebra: links between rank and characteristic polynomial

Show that every triangular $3\times3$ matrix $A$ satisfies $(A-\lambda_1 I)(A-\lambda_2 I)(A-\lambda_3 I)=0$, where $\lambda_i$ are eigenvalues of $A$

Minimal Polynomial Exercise

$n× n$ matrix being non diagonalisable.

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