A scalar valued function is defined as f(X) = XTAX + bTX + c, where A is a symmetric positive definite matrix with dimension n × n; b and x are vectors of dimension n × 1. The minimum value of f(X) will occur when X equals
A. (ATA)-1b
B. -(ATA)-1b
C. \[ - \left( {\frac{{{{\text{A}}^{ - 1}}{\text{b}}}}{2}} \right)\]
D. \[\frac{{{{\text{A}}^{ - 1}}{\text{b}}}}{2}\]
Answer: Option C
This Question Belongs to Engineering Maths >> Linear Algebra
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