In Exercises, assume that T is a linear transformation. Find the standard matrix of T.T : ?2? ?2 rotates points (about the origin) through ??/4 radians (clockwise). [Hint: T(e1) = (l/ , ?1/ ).]

Solution:Step 1 of 1Here After rotating the points (about the origin) through -/4 radians, we get And Now the standard matrix becomes Hence the standard matrix is .