quick response and correct answer = good rate

Let T1091) be the linear transformation that rotates any vector in R3 through an angle 01 in a right-handed sense about the ml-axis (so if your right thumb points along the positive gal-axis, the rotation is in the direction that your ngers curl). It will have matrix 1 0 0 T1091) 2 0 cos 01 sin 01 0 sin 61 cos 61 And similarly we also have rotation along the 3:2 axis: cos 92 0 sin 92 T2 (92) = 0 1 0 sin 62 0 cos 62 and nally along the 3:3 axis: cos 93 sin 63 0 T3(93) = Sill 93 COS 93 0 0 0 l 2. Find the matrix A which corresponds to the linear transformation T obtained by rst rotating a vector in R3 through angle 1r/ 3 about the 3:3-aads and then through angle 7r/ 4 about the strands (recall that singT) = cosr) = 3?, singT) = lgg and (303%) = % [3]