Thread: gauss jordan elimination

Hello i need help to solve this:

Use gauss jordan elimination to solve for x' and y' in terms of x and y

the matrix is:

cos(theta) -sin(theta) x
sin(theta) cos(theta) y

thank you

So you have


The augmented matrix is

Do you know how to row-reduce that?

This is, by the way, the matrix corresponding to rotation through angle [itex]\theta[/itex]. It has an obvious, easy, inverse that you can use to check your answer.