Find the inverse of the matrix:using LU decomposition method w

Question

Find the inverse of the matrix:

$A=\begin{bmatrix}3&2&1\\2&3&2\\1&2&2\end{bmatrix}$

using LU decomposition method with u₁₁ = u₂₂ = u₃₃ = 1.

08 Feb 2025

Answer :

Word Count : 308

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 \( _______ __________ ___ ____ ________ ____ ___ _______ __________ ________.
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