Positive Semi-Definite Matrix 1: Square Root

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Matrix Theory: Let A be an nxn matrix with complex entries. Assume that A is (Hermitian) positive semi-definite. We show that A has a unique (Hermitian) positive definite square root; that is, a PSD matrix S such that S^2 = A. The key ingredient is the Spectral Theorem for C^n. Example in Part 2.
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Fantastic video. You're clear, organized, and jacked as all hell. Thanks for a great video and keep up the great work!

whoopingchow
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Bob, once again you saved my math test. thanks :)

andikac
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@andikac You're welcome! If you have any advanced linear algebra problems, let me know. These are my favorite types of problems. - Bob

MathDoctorBob
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Is there some book about this topic? I need a good reference for my thesis. Thank you.

dnovai
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Studying hard to be that good in math, and training hard to get wrists that thick

DanielLima-kplo
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Nice presentation. If you continuously click '1' on your keyboard, it became wierd.

billtan
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the equations aren't taking, so I will PM. - Bob

MathDoctorBob
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His strong arms are distracting, keeping reminding me to go out for more workout...

xiaoyuwang