- #1

hpayandah

- 18

- 0

**Hi Everyone,**

I want to ask if I did this problem correctly.

## Homework Statement

Find a orthogonal basis for subspace {[x y z]

^{T}|2x-y+z=0}

## Homework Equations

X

_{1}= [3 2 -4]

^{T}, X

_{2}=[4 3 -5]

^{T}

## The Attempt at a Solution

Gram-Schmidt:

F1=X1= [3 2 -4]

F2= X2- ((X2.F1)/||F1||

^{2})F1= [4 3 -5]

^{T}+ (26/29)[3 2 -4]

^{T}

Thanks in advance.