Hello, MMCS!

A transformation in the plane is represented by a 2 x 2 matrix.

Under this transformation, the point (7,7) is transformed to (-5,-6) and the point (-2,8) is transformed to (-4,2).

Find the transformation matrix.

You can start by letting the transformation matrix be: .

Then: .

Also: .

We have two systems of equations:

. . . . . . . . . . .

Their solutions are: .

Therefore: .