1. During class, the technique of completing the squares was demonstrated to show that 2 Ru...

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1. During class, the technique of "completing the squares" was demonstrated to show that 2 Ru + 2xPBu = (R+R- BPx) - (R-1/ BPx) where P, P,x,u, R are all scalars. When x, u are vectors and P, B, R are matrices with proper dimensions, show that u BTPx+x PBu+u Ru = ||Ru + RB Px|||{ x PBRBT Px Provide the specific steps of "completing the squares" to arrive at the result. 1. During class, the technique of "completing the squares" was demonstrated to show that 2 Ru + 2xPBu = (R+R- BPx) - (R-1/ BPx) where P, P,x,u, R are all scalars. When x, u are vectors and P, B, R are matrices with proper dimensions, show that u BTPx+x PBu+u Ru = ||Ru + RB Px|||{ x PBRBT Px Provide the specific steps of "completing the squares" to arrive at the result.