Each of the following sets is orthogonal but not orthonormal. Determine the projection of
x=[ 4 ]
[ 3 ]
[-2 ]
[ 5 ]
onto the subspace spanned by each set. I am working on part c of this question which has the set
C={ [ 1 ] [ 0 ] [ 1 ] }
{ [ 0 ] [ 1 ] [ 1 ] }
{ [ 1 ] [-1] [ 0 ] }
{ [ 1 ] [ 1 ] [-1] }
isn't this set orthonormal? The question says it isn't but I cannot see any requirements for being orthonormal that it does fulfill.

Question

Each of the following sets is orthogonal but not orthonormal. Determine the projection of 
x=[ 4  ]
     [ 3  ]
     [-2 ]
     [ 5  ]
onto the subspace spanned by each set. I am working on part c of this question which has the set
C={ [ 1 ]  [ 0 ]  [ 1 ] }
     { [ 0 ]  [ 1 ]  [ 1 ] }
     { [ 1 ]  [-1]  [ 0 ] }
     { [ 1 ]  [ 1 ]  [-1] }
isn't this set orthonormal? The question says it isn't but I cannot see any requirements for being orthonormal that it does fulfill.

anonymous · Answer

I had a very dumb error in my length calculation . . . I'm good now