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## Homework Statement

Were the columns of A linearly independent?

The matrix A is given in row reduced echeleon form

1 2 0 0

0 0 1 0

0 0 0 1

## Homework Equations

Hint: Consider the solution set to A x = 0

## The Attempt at a Solution

I think that the colums were linearly dependent since the first two columns in their row reduced forms are multiple of each other. Is that correct? If yes, and my explanation seems logical, then why is the hint given?