Hi all, first post.

I'm stuck trying to solve this set of linear equations. I need to find the coefficients a, b and c and express them in terms of x, y, z.

I've tried setting c=1 and finding expressions for a and b but when I check these with arbitrary numbers I just keep getting it wrong.

Somebody has suggested reducing the 3 eigenvectors to row echelon form but I don't understand why. If possible, I would rather solve this algebraically.

The vectors being multiplied by a, b and c are normalised eigenvectors which I am going to assume are correct!

a*(1/sqrt2,0,-1/sqrt2) + b*(1/sqrt2,-sqrt2/2,1/2) + c*(1/2,sqrt2/2,1/2) =(x,y,z)

Any help or advice would be appreciated!

Thanks Although this is university work, it was set as a revison exercise so apologies if this in the wrong section!