<p>It is given that&nbsp;\(\mathbf{P} = \begin{pmatrix} -5 & -3 \\ 1 & 5 \end{pmatrix}\) and \(\mathbf{Q} = \begin{pmatrix} 2a & 1 \\ 1 & -3b \end{pmatrix}\).</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Evaluate \(\mathbf{P}^2\).</span></div></li><li><div class="list-item-content"><span class="list-item-text">If&nbsp;\(\mathbf{Q} - \mathbf{P}^2 = \begin{pmatrix} -10 & 1 \\ 1 & 8 \end{pmatrix}\), find the values of \(a\) and \(b\).</span></div></li></ol>

It is given that \(\mathbf{P} = \begin{pmatrix} -5 & -3 \\ 1 & 5 \end{pmatrix}\) and \(\mathbf{Q} = \begin{pmatrix} 2a & 1 \\ 1 & -3b \end{pmatrix}\).

If \(\mathbf{Q} - \mathbf{P}^2 = \begin{pmatrix} -10 & 1 \\ 1 & 8 \end{pmatrix}\), find the values of \(a\) and \(b\).

Matrices - Application of Matrices

Question 2cb4c33b