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## Homework Statement

compute the LU decomposition of the 3x3 matrix:

A= 2, 1, 1/2

1/2, 2, 1

1, 1/2, 2

Let f be the vector (5,3,6)

Solve Lg=f and then Ux=g. You can check your answer with [itex]A_{3}x=f[/itex]

## The Attempt at a Solution

I finished the calculations:

U = 1, 1/2, 1/4

0, 1, 1/2

0, 0, 1

L = 1, 0, 0

-1/4, 1, 0

-1/2, 0, 1

g = (5, 17/4, 17/2)

f = (23/8, 0, 17/2)

I want to check my answer. What does the subscript 3 signify?