A=2 2(a) Find the singular value decomposition (factorization) of A That is, find orthogonal matrices U. V and a diagonal matrix E such that A = UZV Extrarequirement: Your answer must satisfy an additional requirement that det/V) >0What to Show in your Work: Steps of finding singular vectors and singular values.(b) Interpret the transformation T(x) = Ax as a 3 step process You may simply fill in the blanks below. When Tis applied to a vectorO the vector is rotated by degreesO A. clockwiseO B. counteralockwice(1) and then, it is stretched horizontally by the factor of and stretched vertically by the factor of(it) and then finally it is rotated by degrees O B. counterclockwise@) and then, it is stretched horizontally by the factor of Dand stretched vertically by tha factor of() and then finally it is rotated by degreesO A. counterclockwiseO B. ciockwise(c) T transforms the unit.circle to an ellipse Sketch this ellipse and label the exact coordinates of the end points of the major axis and the minor axis

In your question post, clearly, only one part, namely part (a), is visible to me. Just to make it…

A= (a) Find the singular value decomposition (factorization) of A. That is, find orthogonal matricesU.V. and a diagonal matrix E such that A= UZV Extra requirement: Your answer must satisfy an additional requirement that det V)>0 What to Show in your Work: Steps of finding singular vectors and singular values %3D