Give an example of a 2X2(adsbygoogle = window.adsbygoogle || []).push({}); symmetricmatrix B that cannot be written as B = A^{T}A. Give an explanation as to why no such A exists for the matrix B you have given.

I know that the product A^{T}A is a symmetric matrix, but how could there be no such A that exists for some matrix B?

I'm really stuck on this problem, and I would appreciate it if anyone could help. Thank you so much in advance.

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# Symmetric matrices

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