4) Find LU decomposition of the following system of equations $\begin{bmatrix} 4 & 2 & 1 \ -2 & 3 & -2 \ 2 & 1 & 3 \end{bmatrix} \begin{bmatrix} x_1 \ x_2 \ x_3 \end{bmatrix} = \begin{bmatrix} 9 \ 0 \ 5 \end{bmatrix}$ then find the solution.
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Write the system of equations in matrix form: Ax = b where A is the coefficient matrix, x is the vector of unknowns, and b is the vector of constants. Show more…
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