Question

What is the rigorous thought process in finding the basis for the kernel of a matrix?

score 50 · Answer 1 · 2023-11-23 00:29:42

50

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What is the rigorous thought process in finding the basis for the kernel of a matrix?

Published on 23 Nov 2023 - 0:29

score 65 · Answer 2 · 2026-03-28 03:33:03

65

Views

Solving 5 equations with 5 variable using Newton Raphson method

Published on 28 Mar 2026 - 3:33

score 14 · Answer 3 · 2026-03-28 20:58:28

14

Views

Analysing the boundedness of a function under various regimes of its variables

Published on 28 Mar 2026 - 20:58

score 179 · Answer 4 · 2023-11-27 05:03:56

179

Views

Is there any way to solve for $k$, given $\beta \sin (k-k N)-\sin (k N+k)=0$?

Published on 27 Nov 2023 - 5:03

score 40 · Answer 5 · 2026-03-30 02:10:07

40

Views

Solve score equation with vectors inside an exponential function

Published on 30 Mar 2026 - 2:10

score 137 · Answer 6 · 2026-03-26 16:11:50

137

Views

IMO 1987/P1 - Combinatoric approach

Published on 26 Mar 2026 - 16:11

score 67 · Answer 7 · 2023-11-30 04:25:54

67

Views

Find a explicit formula for $f(x)$ where $\phi(t)=\int_0^x f(t)dt=\int_x^1 t^2f(t)dt+\frac{x^{16}}{8}+\frac{x^{18}}{9}+C$

Published on 30 Nov 2023 - 4:25

score 23 · Answer 8 · 2023-12-01 20:08:45

23

Views

Selecting and matching 3 and 6 distinct numbers yield different numerators

Published on 01 Dec 2023 - 20:08

score 45 · Answer 9 · 2026-03-27 10:43:08

45

Views

Problem about bridge hand distribution

Published on 27 Mar 2026 - 10:43

score 82 · Answer 10 · 2023-12-02 21:34:01

82

Views

Probability of one correct answer among 10 questions

Published on 02 Dec 2023 - 21:34

score 56 · Answer 11 · 2023-12-03 00:39:08

56

Views

Why doesn't n choose k work for selecting a 3-committee form 6 people?

Published on 03 Dec 2023 - 0:39

score 62 · Answer 12 · 2026-03-27 20:31:38

62

Views

$E := \mathbb{Q}( \sqrt{3}, \sqrt{5}, \sqrt[3]{7})/ \mathbb{Q}$. Determine a $ϑ ∈ E$ with $E = \mathbb{Q}(ϑ)$.

Published on 27 Mar 2026 - 20:31

score 43 · Answer 13 · 2026-03-30 01:53:12

43

Views

Linear Systems of Diff Eq - unsure how to solve

Published on 30 Mar 2026 - 1:53

score 124 · Answer 14 · 2023-12-05 07:50:29

124

Views

define $a@b=\frac{b^2+3a}{a+33b},$ calculate (1@2@...@100)×3303

Published on 05 Dec 2023 - 7:50

score 133 · Answer 15 · 2026-04-03 14:09:49

133

Views

$\int_D 1$, where $D:=\{(x, y, z) \in \mathbb{R}^3 : x^2 + y^2 = r^2, (r, z) \in C\}$. (Problem 3-29 in "Calculus on Manifolds" by Michael Spivak)

Published on 03 Apr 2026 - 14:09

List Question

What is the rigorous thought process in finding the basis for the kernel of a matrix?

Solving 5 equations with 5 variable using Newton Raphson method

Analysing the boundedness of a function under various regimes of its variables

Is there any way to solve for $k$, given $\beta \sin (k-k N)-\sin (k N+k)=0$?

Solve score equation with vectors inside an exponential function

IMO 1987/P1 - Combinatoric approach

Find a explicit formula for $f(x)$ where $\phi(t)=\int_0^x f(t)dt=\int_x^1 t^2f(t)dt+\frac{x^{16}}{8}+\frac{x^{18}}{9}+C$

Selecting and matching 3 and 6 distinct numbers yield different numerators

Problem about bridge hand distribution

Probability of one correct answer among 10 questions

Why doesn't n choose k work for selecting a 3-committee form 6 people?

$E := \mathbb{Q}( \sqrt{3}, \sqrt{5}, \sqrt[3]{7})/ \mathbb{Q}$. Determine a $ϑ ∈ E$ with $E = \mathbb{Q}(ϑ)$.

Linear Systems of Diff Eq - unsure how to solve

define $a@b=\frac{b^2+3a}{a+33b},$ calculate (1@2@...@100)×3303

$\int_D 1$, where $D:=\{(x, y, z) \in \mathbb{R}^3 : x^2 + y^2 = r^2, (r, z) \in C\}$. (Problem 3-29 in "Calculus on Manifolds" by Michael Spivak)

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