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A question for orth

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Jiapeng
Jiapeng 2022-10-5
回答： Torsten 2022-10-5
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！

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回答（1 个）

Torsten
Torsten 2022-10-5
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.

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