Principles of Quantum Mechanics · Problem 1.1.5

Mathematical Introduction — R. Shankar

Physics — Quantum Mechanics · linear-independence

Problem

Show that the following row vectors are linearly dependent:

(1, 1, 0)

(1, 0, 1)

, and

(3, 2, 1)

. Show the opposite for

(1, 1, 0)

(1, 0, 1)

, and

(0, 1, 1)