1. The problem statement, all variables and given/known data Let x = (x1,x2) [itex]\in[/itex] Rn, x1 [itex]\in[/itex] Rn1, x2 [itex]\in[/itex] Rn2, n1 + n2 = n and A [itex]\in[/itex] Rnxn be symmetric and positive definite. a) Let x0 [itex]\in[/itex] Rn. Show that we can write (x-x0)TA(x-x0) = ||L(x-x0||22. Is L unique? b) Consider the quadratic term b = xTAx. Show that we can write b = x1TBx1 + 2x1TCx2 + x2T Dx2, and what are the matrices B, C, D? 2. Relevant equations 3. The attempt at a solution a) Is it using the definition of symmetric & positive defintie matrices. b) Isn;t that just a quadratic form?