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Mathematics
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user10101
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  • Last seen more than 3 years ago
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Self-study of all things

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question
9
Prove that $f(x) = x^2 + x$ is uniformly continuous.
Oct 31, 2021
question
6
Prove $\lim_{x\to \infty}\frac{\sin x}{x^2} = 0$.
Nov 1, 2021
question
4
Let $\sim$ be a relation on $\mathbb R$ by $x \sim y \iff x-y \in\mathbb Q$. Show that $\sqrt{3} \notin \left[\sqrt{2}\right]$.
Oct 13, 2021
question
3
Let $|A| = n \geq 2$ a set. How many equivalence relations are there on $A$ that have two equivalence classes?
Oct 25, 2021
question
3
eigenvalues of outer product matrix.
Oct 25, 2021
question
3
Prove that $\lim\limits_{n\to \infty} \sum\limits_{k=1}^n x_k$ exists and is finite.
Oct 28, 2021
question
2
Show that $(I-\mathbf x\mathbf y^T)^{-1} = I-\frac{1}{\mathbf x^T\mathbf y- 1}\mathbf x\mathbf y^T$
Oct 12, 2021
question
2
Show that $\sim$ is an equivalence relation.
Oct 14, 2021
question
2
If $f$ is continuous on $[a,b]$ and $J := f([a,b])$, then $J$ is a closed, bounded interval.
Oct 28, 2021
question
1
Do $A$ and $WAY$ have same singular values and or rank if $W$ and $Y$ are not orthogonal but nonsingular.
Oct 4, 2021