two questions , thank you

[Part A] Consider the operator Te C(C) given by T(I, y) = (-1+2y, -2x + y). Find the polar decomposition of T. REMARK: To answer this question, turn this into a question about matrices and use the approach outlined at the end of Lecture 35. In particular, find a positive definite matrix R such that R2 = AA and an orthogonal matrix U where A = UR where A = M(T).[PART A] With same operator T' as in Exercise 1, find the singular value decomposition of T. REMARK: The question is asking you to find two singular values $1, $2, and to find two orthonormal bases e1, e2 and f1, f2 of C- so that Tv = $1(v, e1) f1 + $2(v, e2) f2 for all v. Look at Lecture 36 and use Exercise 1