matrices - When will $AB=BA$? - Mathematics Stack Exchange
2013年8月29日 · 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 knowledge, and build their careers.
Proofs of determinants of block matrices [duplicate]
I know that there are three important results when taking the Determinants of Block matrices $$\\begin{align}\\det \\begin{bmatrix} A & B \\\\ 0 & D \\end ...
The commutator of two matrices - Mathematics Stack Exchange
The commutator [X, Y] of two matrices is defined by the equation $$\begin{align} [X, Y] = XY − YX. \end{align}$$ Two anti-commuting matrices A and B satisfy $$\begin{align} A^2=I \qu...
How to prove $\\operatorname{Tr}(AB) = \\operatorname{Tr}(BA)$?
2015年1月11日 · The efficient @hjhjhj57: answer $$\text{Tr}(AB) = \text{Tr}(BA)= \sum a_{ij} b_{ji}$$ Now we can start to understand why if we do a circular permutation of the factors the expression
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.
linear algebra - Does $\det (A + B) = \det (A) + \det (B)$ hold ...
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Context free grammar for language { {a,b}*: where the number of …
2017年3月28日 · 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 knowledge, and build their careers.
How to show that every Boolean ring is commutative?
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round table seating probability - Mathematics Stack Exchange
2014年10月10日 · 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 knowledge, and build their careers.
Vector cross product identity for $(a\\times b)\\cdot(c \\times d)$
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