The technique of completing the square is another way to show that the solution, to minimizes (Equation 21.1). Show that for arbitrary vectors and symmetric matrix TTT From part we know that...

The technique of completing the square is another way to show that the solution,

to

minimizes

(Equation 21.1).

Show that for arbitrary vectors

and symmetric matrix

<sup>T

T

T</sup>

From part

we know that

<sup>T

T</sup>

where

is the solution to

By completing the square show that

Assume

is positive definite. Using the result of part

argue that the minimum for

occurs when