Does the fact that $A^{17} = I_2$ imply that the matrix $A$ must be $I_2$? Since the question does not specify whether the entries of $A$ are allowed to b...

I apologize if this is a less-than appropriate place for the question, but I've seen this term come up repeatedly in textbooks and lectures without a...

I understand what is meant by proper factors, e.g. the proper factors of 36 are 2, 3, 4, 6, 9, 12, & 18. However I've just seen the phrase "maxim...

The question is Three vertices of a parallelogram ABCD are A(3,-1,2), B(1,2,-4) and C(-1,1,2). Find the coordinate of the fourth vertex. To get the answer...

What is the formal definition of Finite and infinite speed of propagation? I have searched for it, is the finite one means the solution is only determined...

I have been exploring more about set theory beyond my textbook and I have ran into something I couldn't explain. Can you use logical conjunction/disj...

I have some data points that need to be fit to the curve defined by $$y(x)=\frac{k}{(x+a)^2} - b$$ I have considered that it can be done by the least squa...

Given the function $f(x,y) = \frac{xy}{x+y}$, after my analysis I concluded that the limit at $(0,0)$ does not exists. In short, if we approach to $(0,0)$...

I know that a Truncated Icosahedron is the underlying shape that makes a Football (Soccer ball). In real life, the 20 Hexagons and 12 Pentagons are cut ou...

I have the polynomial: $$2x^5-x^4+10x^3-5x^2+8x-4$$ and I know that the final result is: $$(2x-1)(x^4+5x^2+4) = (2x-1)(x^2+1)(x^2+4)$$ But how would you d...