November 27th, 2016, 02:43 PM  #1 
Newbie Joined: Nov 2016 From: Pasay Posts: 1 Thanks: 0  Matrix property?
Let A be an m x n matrix. Show that the matrix $A^{T}A$ has the property that $x^{T}(A^{T}A)≥ 0$ for every $x ∈ R^{n}$. How do I start to prove this? I tried doing this: $x^{T}(A^{T}A) ≥ 0$ $(Ax)^{T}A ≥ 0$ But, I got stuck because this doesn't show $A^{T}A$ to be positive. Help is greatly appreciated, thank you. 

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matrix, property 
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