Questions tagged [transition-matrix]

A is a Regular Transition Matrix $\Rightarrow$ $\lim\limits_{m \to \infty} A^m$ exists and rank 1 At the above proposition, what does "regular" mean?

I am given two bases of a vector space consisting of matrices. e basis: e1=`\begin{bmatrix}1&2\\0&5\end{bmatrix} e2=\begin{bmatrix}1&1\\-1&0\end{bmatrix} e3= \begin{bmatrix}1&0\\2&3\end{bmatrix} e4=\begin{bmatrix}1&2\\4&3\end{bmatrix} The second…

Let $S=[1 \;1\;1],[1 \;2\;3],[1 \;0\;1]$ and $T=[0 \;1\;1],[1 \;0\;0],[1 \;0\;1]$. Find the transition matrix $P_{S\leftarrow T}$ from the set of ordered basis T to the set of ordered basis S. All the examples in my text book are with column vectors…