I'm not exactly sure how to find the image of an arbitrary vector

A limit point is just a accumulation point whose neighbourhood contains infinitely many elements of the sequence. Is there any difference between boundary...

The number of solutions of $2^{2x}-3^{2y}=55$, in which $x$,$y$ are integers I tried using hit and trial and got only one solution $x=3$ and $y=1$ which i...

Is the reasoning for this proof logically sound? To show that the square roots of all non perfect squares are irrational, we must first know the definitio...

I believe the vector identity $\vec{a} \times (\vec{b} \times \vec{c}) + \vec{b} \times (\vec{c} \times \vec{a}) + \vec{c} \times (\vec{a} \times \vec{b})...

This may be a very stupid question and could be blatantly obvious, but I want to clear the confusion that I have about it. There are two equivalent defini...

I have heard the words "trivial" and "non-trivial" a lot in reference to all sorts of mathematics. To give you an idea of what I mean, consider the follow...

Can any one come up with an example of a seminorm that is not a norm on $\mathbb{R}^n$ ? A seminorm on a real vector space $V$ is a function $N:V\rightarr...

Given: p(A) = 0.6 and p(B) = 0.4 and p(AB) = 0.2 What does p(AB) mean, and how is it different from p(A U B)? How would I find p(A U B) with the given inf...

Consider the following system. 1) $a_{11}x_1 + a_{21}x_2 + \cdots + a_{m1}x_m=d_1$ 2) $a_{12}x_1 + a_{22}x_2 + \cdots + a_{m2}x_m=d_2$ $\vdots$ n) $a_{1n}...