(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A is a 3x3 matrix with distinct eigenvalues lambda(1), lambda(2), lambda(3) and corresponding eigenvectors u1,u2, u3.

Suppose you already know that {u1, u2} is linearly independent.

Prove that {u1, u2, u3} is linearly independent.

2. Relevant equations

??

3. The attempt at a solution

I am supposed to prove that {u1, u2, u3} is linearly independent, but since there are distinct eigenvalues/vectors, is that not enough to say that {u1, u2, u3} is linearly independent?

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# Homework Help: Linear Independence of a 3x3 matrix

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