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8 votes
1 answer
723 views

Geometric intuition for adjoint

1 vote
2 answers
365 views

Help proving $T$ and $S^{-1}TS$ have the same eigenvalues

0 votes
1 answer
359 views

How to prove that if $T$ is diagonalizable and $T^3=T^2$, $T^2=T$? [duplicate]

3 votes
1 answer
257 views

What's so special about the number 24 in the definition of the Ramanujan tau function?

1 vote
0 answers
179 views

How to prove that the vector space of all $n \times n$ matrices is the direct sum of the vector spaces of symmetric and skew-symmetric matrices?

2 votes
1 answer
141 views

Can we define $\ln(x)$ as a solution of $\frac{d}{dx}(f(x))=\frac{1}{x}$?

2 votes
0 answers
115 views

Can we combine set notation and interval notation?

4 votes
2 answers
115 views

Is there any way to refer to a function $f$, without defining $f$? [closed]

2 votes
1 answer
99 views

Are unitarily and orthogonally diagonalizable equivalent over the complex numbers $\mathbb{C}$?

0 votes
0 answers
55 views

Exercise 4.30 of Eisenbud: how to connect a maximal ideal in a localization with the original ring's property of being finitely generated?

0 votes
0 answers
42 views

Why isn't natural density countably additive on the algebra generated by periodic sets?

0 votes
0 answers
40 views

How to prove or disprove that all linear maps from $\mathbb{R}^3$ to $\mathbb{R}^3$ have a real eigenvalue? [duplicate]