GATE 2014 _ 28 [IN]

Question

A scalar valued function is defined as
$$f(x) = x^T Ax + b^Tx + c$$

where A = symmetric +ve definite matrix with diamension n*n

            x = are vectors of dimension  n* 1
The min value of  f(x) will occur when x equals

• A.  (A^TA )^-1B
• B. - (A^TA )^-1B
• C. -(A^-1B) / 2
• D. (A^-1B) / 2