Ononot — A 2 \times 2 matrix A = \begin{pmatrix} 2 & 1 \\ 1 & 2 \end{

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Matriceshard

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A $2 \times 2$ matrix $A = \begin{pmatrix} 2 & 1 \\ 1 & 2 \end{pmatrix}$ is symmetric and positive definite. Find its Cholesky decomposition $A = LL^T$ where $L$ is lower triangular with positive diagonal entries.