Solving Systems of Linear Equations via Matrix Equality

Solving Systems of Linear Equations via Matrix Equality

Secondary 4

Given that \(\begin{pmatrix} 4 & -13 \\ 0 & 7 \\ -2 & 7m-3n \end{pmatrix} = \begin{pmatrix} 4 & 5m+2n \\ 0 & 7 \\ -2 & 5 \end{pmatrix}\), determine the values of \(m\) and \(n\).

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Answer:\(m=-1\) and \(n=-4\).

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