GATE 2017 Aerospace Engineering Q27: Matrix Quadratic Form K=xᵀAx Analysis

Aerospace Engineering > GATE 2017 > Linear Algebra

Let matrix

. Then for any non-trivial vector

. which of the following is true for the value of K={x}^T[A]{x}

K is always less than zero

K is always greater than zero

K is non-negative

K can be anything

Correct : d

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