13. Suppose C is an n x n real symmetric matrix, v E R" and a E R. Define F:R” R by F(x)=xCx - v'x+a. a. Give F'(x) and
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13. Suppose C is an n x n real symmetric matrix, v E R" and a E R. Define F:R” R by F(x)=xCx - v'x+a. a. Give F'(x) and
13. Suppose C is an n x n real symmetric matrix, v E R" and a E R. Define F:R” R by F(x)=xCx - v'x+a. a. Give F'(x) and F"(x). b. Show that u ER™ is a critical point of F if and only if Cu = v.
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