Talk:High School Mathematics Extensions/Matrices/Linear Recurrence Relations Revisited

Computing powers quickly
eh, hi. I edited your first example in this section. You say:

or written completely in numeral form

\begin{pmatrix} 4 & -3\\ -2 & 3 \end{pmatrix} \begin{pmatrix} 2 & -1\\ -1 & 1 \end{pmatrix}

=

\begin{pmatrix} 2 & -1\\ -1 & 1 \end{pmatrix}

\begin{pmatrix} 2 & 0\\ 0 & 3 \end{pmatrix} $$

Which is wrong since it is not equal. It should be:

or written completely in numeral form

\begin{pmatrix} 1 & -2\\ 1 & 4 \end{pmatrix} \begin{pmatrix} 2 & -1\\ -1 & 1 \end{pmatrix}

=

\begin{pmatrix} 2 & -1\\ -1 & 1 \end{pmatrix}

\begin{pmatrix} 2 & 0\\ 0 & 3 \end{pmatrix} $$

And from this point, I edited the rest of the example. Good work though. Keep it up :) Dr_Darsh
 * thanks. Xiaodai 14:50, 1 August 2006 (UTC)