Question

d,e,f and g please

Exercise (5.3). Consider the matriz A=/-211 -10 5 (a) Determine on paper a real SVD of A in the form A = UΣVT. The SVD is not unique, so find the one that has the minimal number of minus signs in U and V (b) List the singular values, left singular vectors, and right singular vectors of A. Draw a careful, labeled pic- ture of the unit ball in R2 and its image under A, together with the singular vectors, with the coordinates of their vertices marked. c) What are the 1-, 2-, oo-, and Frobenius norms of A? (d) Find A-1 not directly, but via the SVD. e) Find the eigenvalues A1,A2 of A (f) Verify that det A-λιλ2 and I det Al-σισ2. (9) What is the area of the ellipsoid onto which A maps the unit ball of RP

Answer 1

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