Rank and Nullity of a Matrix

Algebra Level 3

Consider the matrix

\[ A = \begin{pmatrix}1 & 1 & 2 & 3 \\ 3 & 4 & -1 & 2 \\ -1 & -2 & 5 & 4 \end{pmatrix}.\]

What are the rank and nullity of \(A\)?

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