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Linear AlgebraEasySymmetric Matrices & Quadratic Forms

Symmetric Matrices & Quadratic Forms · Easy problem

The quadratic form q(x)=xTBxq(\mathbf x) = \mathbf x^{T}B\mathbf x is written with the non-symmetric matrix B=(1403)B = \begin{pmatrix}1 & 4\\0 & 3\end{pmatrix}. Let AA be the symmetric matrix with xTAx=q(x)\mathbf x^{T}A\mathbf x = q(\mathbf x) for all x\mathbf x. Find the entry of AA in row 1, column 2.