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Linear AlgebraEasySymmetric Matrices & Quadratic Forms

Symmetric Matrices & Quadratic Forms · Easy problem

Let A=(2−1−12)A = \begin{pmatrix}2 & -1\\-1 & 2\end{pmatrix}. Evaluate the quadratic form xTAx\mathbf x^{T}A\mathbf x at the unit vector x=(35,45)\mathbf x = \left(\tfrac35, \tfrac45\right).