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CS 229, Fall 2018 ProblemSet#0 ... - CS229: Machine Learning

cs229 Problem Set #01CS 229, Fall 2018 Problem Set #0: Linear Algebra and MultivariableCalculusNotes:(1) These questions require thought, but do not require long answers. Please be asconcise as possible. (2) If you have a question about this homework, we encourage you to postyour question on our Piazza forum, (3) Ifyou missed the first lecture or are unfamiliar with the collaboration or honor code policy, pleaseread the policy on Handout #1 (available from the course website) before starting work. (4)This specific homework isnot graded, but we encourage you to solve each of the problems tobrush up on your linear algebra.

CS229 Problem Set #0 2 (a) Let z2Rn be an n-vector. Show that A= zzT is positive semide nite. (b) Let z2Rn be a non-zero n-vector. Let A= zzT.What is the null-space of A? What is the rank of A? (c) Let A2R n be positive semide nite and B2Rm …

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