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Linear AlgebraEasySymmetric Matrices & Quadratic Forms

Symmetric Matrices & Quadratic Forms · Easy problem

Let A=(5115)A = \begin{pmatrix}5 & 1\\1 & 5\end{pmatrix} and Q=12(111−1)Q = \dfrac{1}{\sqrt2}\begin{pmatrix}1 & 1\\1 & -1\end{pmatrix}, an orthogonal matrix whose columns are eigenvectors of AA. Find the entry in row 2, column 2 of QTAQQ^{T}AQ.