CORES2013 and exam prep.

It has been very quiet here for a while since I have been preparing for my exams and attending CORES2013. Today I hope I can return to my daily 10 minutes. Today I learned how to properly construct the single value decomposition of a matrix. A=UEV:

U = { U1 U2}

U1 is an ortonormal basis for R(A)

U2 is an ortonormal basis for N(A^t)

E = {(E_1,0)^t,(0,0)^t}

Where E_1 contains single values aka. the squareroots of the non-zero egienvectors along the diagonal.

V={V_1^t, V_2^t}^t

V_1 is an ortonormal basis for C(A)

V_2 is an orthnormal basis for N(A)