A question for orth

A = [1,-1,2;-1,1,-2;2,-2,4]

If I enter

B = orth(A)

Then,

B =

-0.4082

0.4082

-0.8165

However, range of A should not be floating point number. Which step am I missing?

Thank you！

Answer 1

[Torsten]

Can you get an integer vector for the orthonormal basis of range(A) (thus with length 1) ? Answer: No.

Further, range(A) is not a single vector. It is the complete line

L(lambda) = [1,-1,2]*lambda

with lambda in IR.

For

lambda = -1/sqrt(6)

you get the vector MATLAB returned for B.