Let us consider a complex symmetric matrix $\Omega$. The Autonne-Takagi factorization tells us that a unitary matrx $U$ exists such that $$U^T\Omega U = D...

What is the difference between Gradient Descent method and Steepest Descent methods? In this book, they have come under different sections: http://stanfor...

If the determinant $\det(A)$ of the matrix $A$ of a non-homogeneous system of equations is $0$, then how do we know if it has no solutions or infinitely m...

Please ,how to prove that the space $\mathbb{R}$ endowed with the metric $d(x,y)=|e^x-e^y|$ is not a complete space? I don't find a Cauchy sequence b...

Is there a common notation for enumerating a set? For example if $A=\{2,4,6,\ldots,n \}$ is the set of even numbers, I would like to know the notation tha...

I'm trying to find the eigenvector/eigenvalues of the $2\times2$ matrix: \begin{pmatrix}4 & 2 \\ 2 & 3 \end{pmatrix} This is my work: $$\det(...

Is there any way I can calculate derivatives using a Casio Graphing Calculator? Is there a program available for the calculator which can calculate them?

So I'm viewing a short proof on the uniqueness of Taylor polynomials. Uniqueness of Taylor polynomial: Let $f:]a,b,[ \rightarrow \mathbb{R}$ $n$ time...

how can I compute the curvative of an ellipse given by $$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$ do i need to take $x=a \cos(t)$ and $y=b \sin(t)$? please sho...

I am trying to build up intuition about what the fourier transform of a spherical shell will look like but I can't say I'm making much progress....