Tutor, please help me with the following matrix with explanation. Thanks!

For a 2D image, a linear geometric transformation can be expressed as a 3 x 3 matrix T in [21mm Where, (x, y) is the origin coordinate of the image and (x', y') is the coordinate of the image homogeneous coordinates: aer transformation. (a) After the linear transformation, an image was rotated with an angle of 45 in the counterclockwise direction around its center. Please give the expression of T. (5 points) (b) Discuss how to nd the expression of To that rotate an image 45 around a given coordinate (x0, yo). (10 points) x! x0] = T * [x x0] or {xr _ x0 = (x x0)003(9) - (y - yo)sin (9) Hints: [31' 13,0 13'o y: _ 3'0 : (x _ x0) 3571(9) + (y y0)cos(6)