I am trying to create an example where I find the eigenvalues of a 3x3 positive matrix. I want the eigenvalues to be integers or simple fractions, is ther...

Let $\{E_n\}_{n\in\mathbb{N}}$ be a sequence of countable sets and let $S=E_1\times\cdots\times E_n\times\cdots $. Show $S$ is uncountable. Prove that the...

The original matrix is: \begin{bmatrix} 1 &2 &0 &1 \\ 3 &3 &3 &9 \\ 1 & 4 & 1 &4 \\ 1 & 1 & 2 &0 \end{bmat...

I asked this question, caused by a confusion that I was able to crystallize in the comment section of ryang's answer. What is negation? One could def...

I know how to do part a but b is giving me some trouble. I know that the composition is $M\circ L=[M][L]$ but the matrices I get for $L$ and $M$ aren'...

I searched but couldn't find on Google: My question is, how do I find the opposite direction of an angle, for example 170 degree, how do I calculate ...

Vector $\overrightarrow{A}$ has magnitude $11.0m$ and vector $\overrightarrow{B}$ has magnitude $16.0m$ . The scalar product $\overrightarrow{A}\bullet \o...

For any point $x \in \mathbb{R}$ and a set $S$, $x$ is called an isolated point if $x \in S$ and $x \notin S'$, where the set $S'$ denotes the s...

I was reading something today that was talking in terms of 10%, 100% and 1000% faster. I assumed that 10% faster means it takes 10% less time (60 seconds ...

Why does the orthonormal frame bundle have dimension $\frac{n(n+1)}{2}$, and why is the isometry group a submanifold of the orthonormal frame bundle? Cons...