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If $A=AB-BA$, is $A$ nilpotent? - Mathematics Stack Exchange
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Matrices - Conditions for $AB+BA=0$ - Mathematics Stack Exchange
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Proofs of determinants of block matrices [duplicate]
I know that there are three important results when taking the Determinants of Block matrices $$\\begin{align}\\det \\begin{bmatrix} A & B \\\\ 0 & D \\end ...
linear algebra - Does $\det (A + B) = \det (A) + \det (B)$ hold ...
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …
linear algebra - How to show that $\det(AB) =\det(A) \det(B ...
For completeness, here is a proof of the necessary lemma that any a multilinear, alternating function is a multiple of determinant.
Trace of AB = Trace of BA - Mathematics Stack Exchange
Jun 6, 2015 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
computer science - Find the NFA for the language $\ { w | \text { w ...
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …
round table seating probability - Mathematics Stack Exchange
Oct 10, 2014 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
What is the square matrix - Mathematics Stack Exchange
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …
Evaluating $ \\lim\\limits_{n\\to\\infty} \\sum_{k=1}^{n^2} …
Here's another approach. First, note that $$\begin{eqnarray*} \sum_{k=n^2+1}^\infty \frac{n}{n^2+k^2} &<& \sum_{k=n^2+1}^\infty \frac{n}{k^2} \\ &\le& n\int_{n^2 ...