## Homework Assignments

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** Homework 1 **

Comment to problem 6: An easy way to solve this is
to project the standard coordinate basis in R^{n+1} onto the orthogonal
complement of the all-one vector [1, 1, . . . , 1] and renormalize the
projections. The absolute inner product \mu between distinct vectors is
1/n.
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** Homework 2 **
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** Homework 3 **
Hint for problem 3: Decompose A and B in their SVD, and partition their
SVDs to reflect the zero and non-zero singular vectors.

Hint for problem 4: Use the sub-additvity of the rank.

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