In Linear Algebra by Friedberg, Insel and Spence, the definition of span (pg-$30$) is given as: Let $S$ be a nonempty subset of a vector space $V$. The sp...

My maths teacher is teaching hyperbola these days, and when he drew the hyperbola, I was not able to see $b$ (in $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$) in t...

I am studying the following exercise: Show that the meromorphic functions on the Riemann sphere have the form $p(z)/q(z)$, where $p$, $q$ are coprime poly...

If $a > b > 1$ and $\frac{1}{log_a(b)} + \frac{1}{log_b(a)} = \sqrt{1229}$ , find the value of :- $\frac{1}{log_{ab}(b)} - \frac{1}{log_{ab}(a)}$ . ...

Q&A for people studying math at any level and professionals in related fields

I was wondering about the iff sign in maths. I've never learned about it in school & see it a lot online. Usually the sign looks like this: $\imp...

As a recent field transferee from chemist to data scientist, I find myself wading through more matrix multiplication than I'm used to. I did some lin...

i have problems solving this Task. I know how to calculate the jacobian matrix but i dont understand how to create the function f. Here is the task: We de...

The Orthogonal Decomposition Theorem says that, if $V$ is a subspace of $\mathbb R^n$, then for any vector $v$ in $\mathbb R^n$, $$ v = v_1 + v_2, $$ wher...

I have two column vectors: \begin{equation} u = \left[\matrix{ 1 \cr 2\cr }\right] \end{equation} \begin{equation} v = \left[\matrix{ 4 \cr 4\cr }\right] ...