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Linear AlgebraEasySymmetric Matrices & Quadratic Forms

Symmetric Matrices & Quadratic Forms · Easy problem

For which value of cc is the symmetric matrix (466c)\begin{pmatrix}4 & 6\\6 & c\end{pmatrix} singular, so that its quadratic form 4x2+12xy+cy24x^2 + 12xy + cy^2 is only semidefinite?