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To find the inverse of the matrix \( A \) using LU decomposition with \( u_{11} = u_{22} = u_{33} = 1 \), follow these steps: ### Step 1: Define the Given Matrix \[ A = \begin{bmatrix} 3 & 2 & 1 \\ 2 & 3 & 2 \\ 1 & 2 & 2 \end{bmatrix} \] We need to decompose \( A \) into LU form where \( L \) is a lower triangular matrix and \( _____ ____ ___ _____ __________ ___ ________ ______ ______ ____ ___.
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