# Science:Math Exam Resources/Courses/MATH152/April 2013/Question A 04/Statement

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Consider the matrix given by

For what and does the matrix have rank 2?

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Consider the matrix $M$ given by

- ${\begin{bmatrix}1&7&3\\0&p&5\\1&pq+7&8\end{bmatrix}}.$

For what $p$ and $q$ does the matrix $M$ have rank 2?