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

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- Feb 24th 2009, 09:49 AMqwerty321gauss 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 - Feb 24th 2009, 10:30 AMHallsofIvy
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.