Linear Independence
Definition
Given \(N\) vectors \(|1\rangle,\cdots,|N\rangle\) are linearly independent if \(\sum_i^Na_i|i\rangle = 0\) implies \(a_i=0\) for all \(i\).
Given \(N\) vectors \(|1\rangle,\cdots,|N\rangle\) are linearly independent if \(\sum_i^Na_i|i\rangle = 0\) implies \(a_i=0\) for all \(i\).
Created: 2024-05-30 Thu 21:14