I am currently working on a problem that involves finding an orthogonal basis. It says this:
Consider the matrix A =
|1 1|
|1 -1|
|1 -3|
So I started out doing this:
B =
|1 | |1| | 2|
|-1| - -3/3|1| = | 0|
|-3| |1| |-2|
I am stuck here. I know the answer is:
|1/sqrt(3) 2/sqrt(8)|
|1/sqrt(3) 0 |
|1/sqrt(3) 2/sqrt(8)|
How would I get from where I am to the final answer? Do I do another step to the gram schmidt?