Find an LUfactorization of the matrix 3 0 0 0 4 1 9 12 4Solu

Find an LU-factorization of the matrix. [3 0 0 0 -4 1 9 12 4]

Solution

Add (-3 * row1) to row3

Add (3 * row2) to row3

The inverse of

is

multiply both sides of the equation by this inverse.

this simplifies to

The inverse of

is

multiply both sides of the equation by this inverse.

this simplifies to:

1 0 0 0 1 0 -3 0 1

*

3 0 0 0 -4 1 9 12 4

=

3 0 0 0 -4 1 0 12 4