Question

Is $\frac{\sqrt3+\sqrt5}{2}$ an algebraic integer?

score 256 · Answer 1 · 2026-05-11 00:18:26

256

Views

Is $\frac{\sqrt3+\sqrt5}{2}$ an algebraic integer?

Published on 11 May 2026 - 0:18

score 89 · Answer 2 · 2026-04-14 03:13:57

89

Views

Linear transformation given by matrix multiplication

Published on 14 Apr 2026 - 3:13

score 99 · Answer 3 · 2026-04-24 13:05:08

99

Views

What is the minimal Polynomial of matrix A of order $3\times3$ where $a_{11}=1$ and all other elements are zeroes?

Published on 24 Apr 2026 - 13:05

score 592 · Answer 4 · 2026-04-16 04:09:59

592

Views

Minimal polynomial of $T(X)=A^{-1}XA$

Published on 16 Apr 2026 - 4:09

score 1.2k · Answer 5 · 2026-04-15 12:49:01

1.2k

Views

How many Jordan form for given characteristic and minimal polynomials?

Published on 15 Apr 2026 - 12:49

score 67 · Answer 6 · 2026-04-14 02:34:24

67

Views

Proving Polynomial with binomial coefficients

Published on 14 Apr 2026 - 2:34

score 271 · Answer 7 · 2026-04-16 03:29:32

271

Views

If I have the minimal polynomial for $T$, is the minimal polynomial for$ T^{-1}$ the inverse of that polynomial?

Published on 16 Apr 2026 - 3:29

score 53 · Answer 8 · 2026-05-10 15:50:57

53

Views

Searching for orthogonal matrices with some property

Published on 10 May 2026 - 15:50

score 142 · Answer 9 · 2026-04-11 16:38:10

142

Views

minimal polynomial of a surd given the minimal polynomial of the radicand

Published on 11 Apr 2026 - 16:38

score 142 · Answer 10 · 2026-05-10 15:41:31

142

Views

What is the Galois group of some characteristic polynomial.

Published on 10 May 2026 - 15:41

score 1.3k · Answer 11 · 2026-04-13 12:26:43

1.3k

Views

Construct a polynomial equation of the least degree with rational coefficient one of root is $\sin 10^\circ$

Published on 13 Apr 2026 - 12:26

score 1.4k · Answer 12 · 2026-04-11 22:46:00

1.4k

Views

Let V be a n-dimensional vector space and let T be a linear operator on V.

Published on 11 Apr 2026 - 22:46

score 52 · Answer 13 · 2026-05-10 20:41:20

52

Views

Wrong Proof: $\mu_f =\mu_g$ iff $h^{-1}\cdot f \cdot h = g$

Published on 10 May 2026 - 20:41

score 771 · Answer 14 · 2026-05-10 17:21:50

771

Views

$A^2=-I_4$. Find possible values of minimal polynomial and characteristic polynomial

Published on 10 May 2026 - 17:21

score 123 · Answer 15 · 2026-05-06 12:22:31

123

Views

Write $m_{I-A}$ (the minimal polynomial of $I-A$) in terms of $m_A$ and conclude: $\deg(m_A)=\deg(m_{I-A})$

Published on 06 May 2026 - 12:22

List Question

Is $\frac{\sqrt3+\sqrt5}{2}$ an algebraic integer?

Linear transformation given by matrix multiplication

What is the minimal Polynomial of matrix A of order $3\times3$ where $a_{11}=1$ and all other elements are zeroes?

Minimal polynomial of $T(X)=A^{-1}XA$

How many Jordan form for given characteristic and minimal polynomials?

Proving Polynomial with binomial coefficients

If I have the minimal polynomial for $T$, is the minimal polynomial for$ T^{-1}$ the inverse of that polynomial?

Searching for orthogonal matrices with some property

minimal polynomial of a surd given the minimal polynomial of the radicand

What is the Galois group of some characteristic polynomial.

Construct a polynomial equation of the least degree with rational coefficient one of root is $\sin 10^\circ$

Let V be a n-dimensional vector space and let T be a linear operator on V.

Wrong Proof: $\mu_f =\mu_g$ iff $h^{-1}\cdot f \cdot h = g$

$A^2=-I_4$. Find possible values of minimal polynomial and characteristic polynomial

Write $m_{I-A}$ (the minimal polynomial of $I-A$) in terms of $m_A$ and conclude: $\deg(m_A)=\deg(m_{I-A})$

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