How to prove $\\operatorname{Tr}(AB) = \\operatorname{Tr}(BA)$?
27 May 2025 at 12:12am
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
matrices - When will $AB=BA$? - Mathematics Stack Exchange
27 May 2025 at 7:17pm
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.
Design a Deterministic Finite Automata (DFA) for 'abab'
30 May 2025 at 1:30pm
Problem Design a deterministic finite automata (dfa) that satisfies the following: { w | w has 'abab' as a substring} Hence, w can be ?, abab, abababab, etc. Attempt This was my first trial.
linear algebra - Does $\det (A + B) = \det (A) + \det (B)$ hold ...
30 May 2025 at 8:04pm
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.
The commutator of two matrices - Mathematics Stack Exchange
27 May 2025 at 10:59pm
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 $$\begin{align} A^2=I \qu...
linear algebra - How to show that $\det(AB) =\det(A) \det(B ...
28 May 2025 at 1:01am
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Given two square matrices - Mathematics Stack Exchange
25 May 2025 at 11:59pm
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Show that $ e^{A+B}=e^A e^B$ - Mathematics Stack Exchange
30 May 2025 at 1:34am
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
logarithms - Prove that $\log_a (b)=\log (b)/\log (a)$ - Mathematics ...
28 May 2025 at 10:58pm
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Evaluating $ \\lim\\limits_{n\\to\\infty} \\sum_{k=1}^{n^2} \\frac{n}{n ...
26 May 2025 at 5:09pm
Here's another approach. First, note that $$\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 ...
WHAT IS THIS? This is an unscreened compilation of results from several search engines. The sites listed are not necessarily recommended by Surfnetkids.com.
27 May 2025 at 12:12am
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
matrices - When will $AB=BA$? - Mathematics Stack Exchange
27 May 2025 at 7:17pm
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.
Design a Deterministic Finite Automata (DFA) for 'abab'
30 May 2025 at 1:30pm
Problem Design a deterministic finite automata (dfa) that satisfies the following: { w | w has 'abab' as a substring} Hence, w can be ?, abab, abababab, etc. Attempt This was my first trial.
linear algebra - Does $\det (A + B) = \det (A) + \det (B)$ hold ...
30 May 2025 at 8:04pm
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.
The commutator of two matrices - Mathematics Stack Exchange
27 May 2025 at 10:59pm
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 $$\begin{align} A^2=I \qu...
linear algebra - How to show that $\det(AB) =\det(A) \det(B ...
28 May 2025 at 1:01am
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Given two square matrices - Mathematics Stack Exchange
25 May 2025 at 11:59pm
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Show that $ e^{A+B}=e^A e^B$ - Mathematics Stack Exchange
30 May 2025 at 1:34am
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
logarithms - Prove that $\log_a (b)=\log (b)/\log (a)$ - Mathematics ...
28 May 2025 at 10:58pm
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Evaluating $ \\lim\\limits_{n\\to\\infty} \\sum_{k=1}^{n^2} \\frac{n}{n ...
26 May 2025 at 5:09pm
Here's another approach. First, note that $$\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 ...
WHAT IS THIS? This is an unscreened compilation of results from several search engines. The sites listed are not necessarily recommended by Surfnetkids.com.
