A scalar valued function is defined as

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

f(x) = x^T A x + b^T x

, where

A

is symmetric positive definite matrix with dimension

n \times n

b

and

x

are vectors of dimension

n \times 1

. The minimum value of

f(x)

will occur when

x = \dots