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1. Demonstrate that matrix A is ivertible matrix and write is as a product of elemental matrix

2. Find the LU factorization of the following matrix:

1. Demuestre que la matriz \( A=\left[\begin{array}{rrr}2 & 4 & 6 \\ 4 & 5 & 6 \\ 3 & 1 & -2\end{array}\right] \) es invertible y escribala como un producto de matrices elementales. 2. Halle la factorización \( L U \) de la matriz \( \left[\begin{array}{rrr}1 & 4 & 6 \\ 2 & -1 & 3 \\ 3 & 2 & 5\end{array}\right] \)