vector help

v = <-9, 2> is transformed using the transformation matrix A = [-4, 1, 1, 2] What is the resulting vector? Show all your work.

 

We have the vector <-9, 2>, so we just apply the matrix A to this vector. We get:

 

A<-9,2> = [-4, 1, 1, 2]<-9,2> = <-4*-9 + 1 * 2, 1 * -9 + 2 * 2 > = <36 + 2, -9+4> = <38,-5>

Sorry for the formatting, I am new around typsetting languages for mathematics like LaTeX so I'm still learning how to do things(like matrices :/)