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==Problem 1 Critique==
 
==Problem 1 Critique==
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a) and b) are as same as mine which I think are probably correct
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For part c), the solution is almost the same just need to follow what the instruction said in terms of <math>\lambda_n</math>, <math>\lambda_n^b</math>, and <math>\lambda_n^d</math>
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For part d). I am not sure what the correct curve should be.
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==Problem 2 Critique==
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For this problem, I consider that part b is not the correct way to prove positive semi-definite. To prove a matrix A is p.s.d, need an arbitrary vector x and prove that<math>x^tAx \geq 0</math>. Prove <math>\Sigma^2 \geq 0</math> is not enough.

Latest revision as of 21:27, 9 July 2019

Problem 1 Critique

a) and b) are as same as mine which I think are probably correct

For part c), the solution is almost the same just need to follow what the instruction said in terms of $ \lambda_n $, $ \lambda_n^b $, and $ \lambda_n^d $

For part d). I am not sure what the correct curve should be.

Problem 2 Critique

For this problem, I consider that part b is not the correct way to prove positive semi-definite. To prove a matrix A is p.s.d, need an arbitrary vector x and prove that$ x^tAx \geq 0 $. Prove $ \Sigma^2 \geq 0 $ is not enough.

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