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find the rank and nullity of the matrix. \( A=\left[\begin{array}{llll}1 & 2 & 3 & 2 \\ 2 & 3 & 5 & 1 \\ 1 & 3 & 4 & 5\end{array}\right] . \)

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find the rank and nullity of the matrix. \( A=\left[\begin{array}{llll}1 & 2 & 3 & 2 \\ 2 & 3 & 5 & 1 \\ 1 & 3 & 4 & 5\end{array}\right] . \)
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The rank of the matrix is: 2

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