- Thread starter sami123
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You want to solve: \(\displaystyle s<3,-1>+t<-6,2>=<4,5>\)2. Ifp= 3i-j,q= 4i+ 5jandr= -6i+ 2j

a. can you find the find numbers s and t such thatq= sp+ tr

Can u any one tell me when it is not possible to find numbers like s and t?

You should have a system of two equations in two unknowns.

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You want to solve: \(\displaystyle s<3,-1>+t<-6,2>=<4,5>\)

You should have a system of two equations in two unknowns.

The book is correct. But it was you task to discover that fact for yourself. It is not ours.The answer given in book is not exist

I still not understand what is the condition when we are not able to find numbers??

\(\displaystyle \left\{ \begin{array}{l}3s - 6t = 4\\ - s + 2t = 5\end{array} \right.\)

It is easy to see that system has no solution. Again that was your job.