help with matrices please

Question

anonymous · Answer

Two hockey teams submit equipment lists for the season as shown. Each stick costs $55, each puck $2, and uniforms $25. Use matrix multiplication to find the total cost of equipment for each team.
Women's Team -14 sticks, 39 pucks, & 14 uniforms
Men's Team-16 sticks, 25 pucks, & 20 uniforms.
The total cost for the women's team is $________ and the total cost for the men's team is $_________.

phi · Answer

write down a 2 row by 3 col matrix 
where each row is # sticks, pucks, unis
write down a 3 row by 1 col vector of prices (in the same order)
Can you do this?

anonymous · Answer

yes. just a sec

anonymous · Answer

do you multiply them?

phi · Answer

Yes

phi · Answer

$$\left[\begin{matrix}14 & 39 & 14 \ 16 & 25 & 20\end{matrix}\right]\left(\begin{matrix}55 \ 2 \ 25\end{matrix}\right)=$$

anonymous · Answer

$$\left(\begin{matrix}1198 \ 1430\end{matrix}\right)$$ right?

anonymous · Answer

so then women's team cost is $1198 and the men's team cost is $1430

phi · Answer

I checked your first #.  Looks good.  I'll trust you for the men's!

anonymous · Answer

thanks so much! : )