Question

What does it mean for something to span $Z^n$? For example: do the vectors x,y, and z form a basis for $Z^2$?

score 247 · Answer 1 · 2018-12-16 19:22:42

247

Views

What does it mean for something to span $Z^n$? For example: do the vectors x,y, and z form a basis for $Z^2$?

Published on 16 Dec 2018 - 19:22

score 106 · Answer 2 · 2018-12-16 22:24:55

106

Views

Shouldn't remainder be always less than divisor?

Published on 16 Dec 2018 - 22:24

score 1.1k · Answer 3 · 2026-03-25 12:24:17

1.1k

Views

Looking for solution to "lights out" puzzle variant with multiple states

Published on 25 Mar 2026 - 12:24

score 317 · Answer 4 · 2018-12-17 11:32:25

317

Views

Number theory : values of $l$, $k$; $k$ and $l$ are relatively prime to $n$ with $kl \equiv 1 \pmod n$.

Published on 17 Dec 2018 - 11:32

score 41 · Answer 5 · 2026-03-25 10:24:23

41

Views

Let the extention $GF(p^m) \supset GF(p)$ that contains roots of $p(x)=x^{p^{m}}-1$. Show that those roots are distinct and that forms a field

Published on 25 Mar 2026 - 10:24

score 162 · Answer 6 · 2018-12-17 17:58:00

162

Views

Solve for $m$: $m^5 + 7m + 8 \equiv 0 \pmod 3$

Published on 17 Dec 2018 - 17:58

score 540 · Answer 7 · 2026-03-26 19:03:11

540

Views

If $A$ is an $n$ by $n$ integer matrix such that $A^3 = I$, then $\operatorname{tr}(A) = n\mod3$

Published on 26 Mar 2026 - 19:03

score 640 · Answer 8 · 2026-03-26 19:00:54

640

Views

Prove that $tr(A)^p = tr(A^p)\bmod p$ where $A$ is a square integer matrix and $p$ is a prime number.

Published on 26 Mar 2026 - 19:00

score 35 · Answer 9 · 2026-03-25 23:52:32

35

Views

How many members $a$ in $\Bbb{Z}^*$ have a number $b$, $b^3 = a \pmod n$?

Published on 25 Mar 2026 - 23:52

score 41 · Answer 10 · 2018-12-18 15:29:32

41

Views

For what values of t, $20t\equiv15t \pmod {0.5}$?

Published on 18 Dec 2018 - 15:29

score 268 · Answer 11 · 2026-03-29 17:27:35

268

Views

How many elements are there in $\mathbb{Z}^{\times}_{20}$ ,the subset of multiplicatively invertible elements in $\mathbb{Z}_{20}$?

Published on 29 Mar 2026 - 17:27

score 113 · Answer 12 · 2026-03-24 23:44:48

113

Views

Cyclotomic cosets $\pmod 8$, $p=3$

Published on 24 Mar 2026 - 23:44

score 74 · Answer 13 · 2026-03-29 17:25:31

74

Views

On a certain bijection of the multiplicative group modulo prime $p=2^k+1$.

Published on 29 Mar 2026 - 17:25

score 392 · Answer 14 · 2026-03-29 19:17:33

392

Views

What is the meaning of $\mathbb{Z}_{5}^{+}$ (and $\mathbb{Z}_{5}^{*}$) in group theory?

Published on 29 Mar 2026 - 19:17

score 45 · Answer 15 · 2018-12-19 02:24:24

45

Views

$13t$ mod $5.2=5.2-26t$ mod $5.2$. Solve for $t$

Published on 19 Dec 2018 - 2:24

List Question

What does it mean for something to span $Z^n$? For example: do the vectors x,y, and z form a basis for $Z^2$?

Shouldn't remainder be always less than divisor?

Looking for solution to "lights out" puzzle variant with multiple states

Number theory : values of $l$, $k$; $k$ and $l$ are relatively prime to $n$ with $kl \equiv 1 \pmod n$.

Let the extention $GF(p^m) \supset GF(p)$ that contains roots of $p(x)=x^{p^{m}}-1$. Show that those roots are distinct and that forms a field

Solve for $m$: $m^5 + 7m + 8 \equiv 0 \pmod 3$

If $A$ is an $n$ by $n$ integer matrix such that $A^3 = I$, then $\operatorname{tr}(A) = n\mod3$

Prove that $tr(A)^p = tr(A^p)\bmod p$ where $A$ is a square integer matrix and $p$ is a prime number.

How many members $a$ in $\Bbb{Z}^*$ have a number $b$, $b^3 = a \pmod n$?

For what values of t, $20t\equiv15t \pmod {0.5}$?

How many elements are there in $\mathbb{Z}^{\times}_{20}$ ,the subset of multiplicatively invertible elements in $\mathbb{Z}_{20}$?

Cyclotomic cosets $\pmod 8$, $p=3$

On a certain bijection of the multiplicative group modulo prime $p=2^k+1$.

What is the meaning of $\mathbb{Z}_{5}^{+}$ (and $\mathbb{Z}_{5}^{*}$) in group theory?

$13t$ mod $5.2=5.2-26t$ mod $5.2$. Solve for $t$

Trending Questions

Popular # Hahtags

Popular Questions