Question

Calculating the characteristic polynomial of a 3x3 matrix

score 423 · Answer 1 · 2026-03-25 20:41:47

423

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Calculating the characteristic polynomial of a 3x3 matrix

Published on 25 Mar 2026 - 20:41

score 86 · Answer 2 · 2026-03-25 17:45:24

86

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Characteristic polynomial of unitary operator

Published on 25 Mar 2026 - 17:45

score 118 · Answer 3 · 2026-03-25 16:03:29

118

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Compute a matrix $P$ such that $P$ satisfies $3I+P+P^2=\left(\begin{smallmatrix}3&0&0\\3&6&0\\0&0&6\end{smallmatrix}\right)$

Published on 25 Mar 2026 - 16:03

score 390 · Answer 4 · 2026-03-25 16:00:02

390

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Minimal polynomial = chratacteristic polynomial $\iff$ distinct eigenvalues associated with distinct Jordan blocks?

Published on 25 Mar 2026 - 16:00

score 103 · Answer 5 · 2026-03-25 19:10:10

103

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Minimum annihilating polynomial of matrix $A$ of order $n$ is equal to $(λ + 1)^2(λ - 2)$.

Published on 25 Mar 2026 - 19:10

score 103 · Answer 6 · 2026-03-25 17:27:12

103

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Characteristic Value Problem - Solutions to Characteristic Values

Published on 25 Mar 2026 - 17:27

score 61 · Answer 7 · 2026-03-25 19:04:19

61

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On a real square matrix of order $10$

Published on 25 Mar 2026 - 19:04

score 331 · Answer 8 · 2026-03-25 19:10:09

331

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Conditions on the characteristic polynomial of a matrix with sines and cosines to has integer coefficients

Published on 25 Mar 2026 - 19:10

score 1.4k · Answer 9 · 2026-03-25 17:39:09

1.4k

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Is the Jordan normal form uniquely determined by the characteristic and minimal polynomial?

Published on 25 Mar 2026 - 17:39

score 82 · Answer 10 · 2026-03-25 09:50:14

82

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Calculating the characteristic polynomials of two similar matrices yields different results. Where's the error?

Published on 25 Mar 2026 - 9:50

score 1.3k · Answer 11 · 2026-04-16 08:43:01

1.3k

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Prove that the product of eigenvalues is equal to the determinant

Published on 16 Apr 2026 - 8:43

score 193 · Answer 12 · 2026-03-25 19:06:44

193

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Absolute value of coefficients of the characteristic polynomial of a unitary matrix

Published on 25 Mar 2026 - 19:06

score 502 · Answer 13 · 2026-03-25 09:48:15

502

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Two permutation matrices represent conjugate permutations iff they have same characteristic polynomial.

Published on 25 Mar 2026 - 9:48

score 92 · Answer 14 · 2026-05-10 11:20:59

92

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Show that two triagonalizable matrices $A$ and $B$ are similar iff $\chi_A=\chi_B$ and $\mu_A=\mu_B$

Published on 10 May 2026 - 11:20

score 65 · Answer 15 · 2026-03-25 16:03:15

65

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Find all eigenvectors of a linear transformation $T(\begin{pmatrix}a&b\\ c&d\end{pmatrix})=\begin{pmatrix}a&a+b\\ b+c&c+d\end{pmatrix}$

Published on 25 Mar 2026 - 16:03

List Question

Calculating the characteristic polynomial of a 3x3 matrix

Characteristic polynomial of unitary operator

Compute a matrix $P$ such that $P$ satisfies $3I+P+P^2=\left(\begin{smallmatrix}3&0&0\\3&6&0\\0&0&6\end{smallmatrix}\right)$

Minimal polynomial = chratacteristic polynomial $\iff$ distinct eigenvalues associated with distinct Jordan blocks?

Minimum annihilating polynomial of matrix $A$ of order $n$ is equal to $(λ + 1)^2(λ - 2)$.

Characteristic Value Problem - Solutions to Characteristic Values

On a real square matrix of order $10$

Conditions on the characteristic polynomial of a matrix with sines and cosines to has integer coefficients

Is the Jordan normal form uniquely determined by the characteristic and minimal polynomial?

Calculating the characteristic polynomials of two similar matrices yields different results. Where's the error?

Prove that the product of eigenvalues is equal to the determinant

Absolute value of coefficients of the characteristic polynomial of a unitary matrix

Two permutation matrices represent conjugate permutations iff they have same characteristic polynomial.

Show that two triagonalizable matrices $A$ and $B$ are similar iff $\chi_A=\chi_B$ and $\mu_A=\mu_B$

Find all eigenvectors of a linear transformation $T(\begin{pmatrix}a&b\\ c&d\end{pmatrix})=\begin{pmatrix}a&a+b\\ b+c&c+d\end{pmatrix}$

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