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Linear AlgebraMediumSymmetric Matrices & Quadratic Forms

Symmetric Matrices & Quadratic Forms · Medium problem

The matrix A=(2t0t2t0t2)A = \begin{pmatrix}2 & t & 0\\t & 2 & t\\0 & t & 2\end{pmatrix} is positive definite exactly when ∣t∣<c|t| < c. Find cc.