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Show the vectors are linearly independent.

From

Cover of Quantum Mechanics Demystified, 2nd Edition

Chapter 5: The Mathematical Structure of Quantum Mechanics I
from Quantum Mechanics Demystified, 2nd Edition
by David McMahon
Publisher: McGraw-Hill
Released: April 2013

Note

watch out for typo. |b> should be (0,-1,0)

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