Question: problem 1: Problem 1: Symmetric Matrix A matrix A is called symmetric if and only if A = AT. (a) Show that if P E

problem 1:

Problem 1: Symmetric Matrix A matrix A is called symmetric if and only if A = AT. (a) Show that if P E R\""\" is symmetric, then for any Q E Rm'p, QTPQ is also symmetric. (b) Show that matrix B E Flax3 is symmetric if and only if for any 3-vectur I and y, 3TB}; = yTBI

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