The document describes the method of LU decomposition with partial pivoting to solve a system of equations. It takes the counterfoil of the equations and performs pivoting by taking the largest element in the first column. This allows it to perform elimination to obtain an upper triangular matrix U. It then forms the lower triangular matrix L and uses L and U to back substitute and solve for the unknown variables.

1. METHODS OF COUNTERFOILS: DECOMPOSITION LU WITH PARTIAL PIVOTEO REALIZED FOR: FREDY ANDRES REYES SANCHEZ

2. DECOMPOSITION LU WITH PARTIAL PIVOTEO Solve the following system of equations using the decomposition LU with pivoted partially: 2

3. Taking the counterfoil increased of the equations: Where the pivoted consists of taking the factors of the first column of the bigger one than the minor. We continue to the elimination ahead: 3

4. And we come to the triangular top counterfoil U: With the factors that I obtained the triangular top counterfoil, I form the triangular counterfoil L, like that: 4

5. Now L I operate on it with regard to the definition: With the substitution ahead: 5

6. And replacing: This way: This result can be replaced in the equation: 6

7. With the substitution backward, we find the result of the mysteries: 7

8. BIBLIOGRAPHY Solved of the Chapra, chapter 10, section of problems 10.2 8