Following is the formula to calculate continuous compounding A = P e^(RT) Continuous Compound Interest Formula where, P = principal amount (initial invest...

I'm starting by a simple remark: if $A$ is a $n\times n$ matrix and $\{\lambda_1,\ldots,\lambda_k\}$ are its eigenvalues, then the eigenvalues of mat...

I know $$g(x) = \arctan(x)+\arctan(y) = \arctan\left(\frac{x+y}{1-xy}\right)$$ which follows from the formula for $\tan(x+y)$. But my question is that my ...

Context After a discussion about how to plot the results of a frequency modulation between two signals on Stack Overflow, I understood that I need to find...

I looked this up and seen something that was beyond my A-Level Maths course. In class we are doing the discriminant and sketching quadratic graphs, so it ...

We got triangle $\triangle \text{ABC}$ and $\angle \text{C}=90^{\circ }$. The area of $\triangle \text{ABC}=\text{S}$ and $\angle \text{BAC}=\alpha$. Prov...

Linear Algebra (2015 5 ed) by Lay, p. 397. Theorem 7.1 involves only real numbers. Let: $A^* = \bar{A}^T $. $v_i$ and $v_j$ be two eigenvectors of an Herm...

If I have a single matrix A that is non-singular, how can I prove the determinant of its inverse = $\frac{1}{\det(A)}$? Prove: $$ \det(\mathbf{A^{-1}}) = ...

I am reading Matrix Algebra - Theory, Computations, and Applications in Statistics by James E. Gentle (2007), and I am stuck on an exercise to show that t...

I am trying figure out the minimum size of a world that is made of hexagonal tiles for it to be not very noticeable. I cannot find anything online that is...