Question

Given a diagonalizable matrix $A$ and polynomial $f$, prove $f(A)$ is diagonalizable

score 430 · Answer 1 · 2026-04-14 07:09:59

430

Views

Given a diagonalizable matrix $A$ and polynomial $f$, prove $f(A)$ is diagonalizable

Published on 14 Apr 2026 - 7:09

score 59 · Answer 2 · 2026-04-11 21:53:58

59

Views

Closure of $C[0,1]$ in norm 1

Published on 11 Apr 2026 - 21:53

score 53 · Answer 3 · 2026-04-12 01:58:00

53

Views

Finding a polynomial that produces closest integral approximation to sum of polynomial values?

Published on 12 Apr 2026 - 1:58

score 979 · Answer 4 · 2026-04-13 18:37:06

979

Views

Construct the field of complex numbers as the quotient ring of real polynomials

Published on 13 Apr 2026 - 18:37

score 210 · Answer 5 · 2026-04-14 08:57:54

210

Views

Inverse of a specific strictly increasing polynomial

Published on 14 Apr 2026 - 8:57

score 68 · Answer 6 · 2026-04-17 15:27:55

68

Views

What is known about sets $f(x_1,...x_n)=0$ and what theory investigates them?

Published on 17 Apr 2026 - 15:27

score 811 · Answer 7 · 2026-04-15 12:59:27

811

Views

Amann/Escher, Analysis I, Exercise I.11.8: Show that $|p(z)|>R$ for all $z \in \mathbb{C}$ such that $|z|>R$

Published on 15 Apr 2026 - 12:59

score 407 · Answer 8 · 2026-04-16 09:14:14

407

Views

For how many positive integers $m$ the number $m^3+5m^2+3$ is a perfect cube?

Published on 16 Apr 2026 - 9:14

score 109 · Answer 9 · 2026-04-15 22:49:02

109

Views

Consider the polynomial expression $P(x) = (x+1)^5 + x$

Published on 15 Apr 2026 - 22:49

score 67 · Answer 10 · 2026-04-14 23:33:45

The function $f \colon \mathbb R \to \mathbb R$ is a degree $5$ polynomial which returns $0$ for $x=-3$ and $x=-5$

score 94 · Answer 11 · 2026-04-17 16:26:46

94

Views

Question related to the 'bit size' of polynomials

Published on 17 Apr 2026 - 16:26

score 44 · Answer 12 · 2026-04-13 17:21:58

44

Views

Find function that verifies the following relationships for any $x \in R$

Published on 13 Apr 2026 - 17:21

score 54 · Answer 13 · 2026-04-15 18:15:42

54

Views

$k[x,y]$ versus $A_1(k)$

Published on 15 Apr 2026 - 18:15

score 211 · Answer 14 · 2026-04-17 07:13:32

211

Views

$x_1^3+3x_2+3x_3$ in terms of the roots $x_1$, $x_2$, $x_3$ of $x^3−3x−15=0$

Published on 17 Apr 2026 - 7:13

score 2.8k · Answer 15 · 2026-04-11 10:38:00

2.8k

Views

Why should I use synthetic division instead of long division of polynomials?

Published on 11 Apr 2026 - 10:38

List Question

Given a diagonalizable matrix $A$ and polynomial $f$, prove $f(A)$ is diagonalizable

Closure of $C[0,1]$ in norm 1

Finding a polynomial that produces closest integral approximation to sum of polynomial values?

Construct the field of complex numbers as the quotient ring of real polynomials

Inverse of a specific strictly increasing polynomial

What is known about sets $f(x_1,...x_n)=0$ and what theory investigates them?

Amann/Escher, Analysis I, Exercise I.11.8: Show that $|p(z)|>R$ for all $z \in \mathbb{C}$ such that $|z|>R$

For how many positive integers $m$ the number $m^3+5m^2+3$ is a perfect cube?

Consider the polynomial expression $P(x) = (x+1)^5 + x$

The function $f \colon \mathbb R \to \mathbb R$ is a degree $5$ polynomial which returns $0$ for $x=-3$ and $x=-5$

Question related to the 'bit size' of polynomials

Find function that verifies the following relationships for any $x \in R$

$k[x,y]$ versus $A_1(k)$

$x_1^3+3x_2+3x_3$ in terms of the roots $x_1$, $x_2$, $x_3$ of $x^3−3x−15=0$

Why should I use synthetic division instead of long division of polynomials?

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