1. ## multiplication

Given matrix A=

2 1 0
3 1 2
1 0 5

Use multiplication to find A^2=AA with working??

2. Hi dude.

Originally Posted by mathseek
Given matrix A=

2 1 0
3 1 2
1 0 5

Use multiplication to find A^2=AA with working??
$\begin{pmatrix} 2 & 1 & 0 \\ 3 & 1 & 2 \\ 1 & 0 & 5\end{pmatrix}^2 = \begin{pmatrix} 2 & 1 & 0 \\ 3 & 1 & 2 \\ 1 & 0 & 5\end{pmatrix}*\begin{pmatrix} 2 & 1 & 0 \\ 3 & 1 & 2 \\ 1 & 0 & 5\end{pmatrix}$

$=\begin{pmatrix} 2*2+1*3+0*1 & 2*1+1*1+0*0 & 2*0+1*2+5*5 \\ 3*2+1*3+2*1 & 3*1+1*1+2*0 & 3*0+1*2+2*5 \\ 1*2+0*3 + 5*1 & 1*1+0*1+5*0 & 1*0+0*2+5*5 \end{pmatrix}$

= ...

guess you have your own calculator to calculate it :-)

PS: Merry Christmas and happy holidays