True or False? (5 points x 10) a. The left singular vectors of A are the eigenvectors of AA Answer: oTrueoFalse b. Define A,-2% i qui UT, then the first singular value of matrix A-Ak n-l Answer: oTrue OFalse c. The space cost of keeping Ails 0(nk ++ K) Answer: oTrue oFalse d. G equals the sum of squared projections of each row ai to right singular vector Answer: True OFalse Answer: oTrueOFalse f. For x >-1 0 and n > 1, (1+p">1+nx. Answer: True False g. Given n independent Bernoulli trials each succeeds with probability p, the expected number of successful trials is m-np, and the probability that the number of successful trials is larger than m by (1 + o)m decays exponentially as n increases. Answer: oTrueoFalse h Define Ak = Li=1 illi Ui then Ak 1s the rank k matrix that is closest to matrix 4 n terms of the spectral norm distance function. Answer: oTrue oFalse Answer: True False j. To perform PCA on a data table to reduce its dimension number, we need to first center the data. Answer: oTrue OFalse