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40m
comment If $A$ is $n\times n$ matrix with $(A-I)^2=0$ then which of the following is true?
Hint: What can we say about the determinant of $A-I$? The eigenvalues of $A$?
44m
comment Find this example
What are $h_{1}$ and $h_{2}$?
15h
awarded  Popular Question
Oct
8
awarded  Popular Question
Oct
1
comment Fuchs' theorem and ODE series solution
It's exactly like in Taylor Series. If someone came up to you in the street with a differential equation and said "Find a series solution" then theu would need to give you a point about which to expand that series. Sometimes the solution at a particular point won't be very well defined - these are the singular points.
Sep
30
awarded  Explainer
Sep
27
accepted Does 'bounded by convergent series' imply convergence?
Sep
27
comment Does 'bounded by convergent series' imply convergence?
Ah, I understand now!
Sep
27
comment Does 'bounded by convergent series' imply convergence?
But this new series has every term positive, so $x_{n}$ and $y_{n}$ don't have the same sign.
Sep
27
asked Does 'bounded by convergent series' imply convergence?
Sep
26
awarded  Popular Question
Sep
25
comment Differential equation $xy'+2y=0$ and the form of arbitrary constant in its general solution
Cases where $d\le 0$ correspond to infinite or complex cases of $c$.
Sep
24
answered Fuchs' theorem and ODE series solution
Sep
23
comment Divergence of $n!^{1/n}$
@Jonas Thanks for pointing this out!
Sep
23
asked Divergence of $n!^{1/n}$
Sep
23
answered Simple proof that this sequence converges [verification]
Sep
21
comment Symbol for unknown relation?
I should have put $(x \ne 0)$ in there somewhere, but in truth I was being lazy abd just copied the block of equations straight from the OP. Well spotted though!
Sep
20
revised Symbol for unknown relation?
added 2 characters in body
Sep
19
awarded  Nice Question
Sep
19
comment Symbol for unknown relation?
Sorry, that's a little ambiguous isn't it. I mean that the entire statement is true, obviously $-4 \ne 0$!