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Linear AlgebraEasySymmetric Matrices & Quadratic Forms

Symmetric Matrices & Quadratic Forms · Easy problem

The positive definiteness test for A=(210121012)A = \begin{pmatrix}2 & 1 & 0\\1 & 2 & 1\\0 & 1 & 2\end{pmatrix} uses its leading principal minors d1,d2,d3d_1, d_2, d_3 (the determinants of the upper-left 1×11\times 1, 2×22\times 2 and 3×33\times 3 blocks). Find d3d_3.