<p>It is given that&nbsp;\(X = \begin{pmatrix} a & 9 \\ 3b & 2 \end{pmatrix}\), \(Y = \begin{pmatrix} 4 & -1 \\ -5 & -3 \end{pmatrix}\) and \(Z = \begin{pmatrix} 9 & 2c \\ 3 & d \end{pmatrix}\). Find</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">\(3Y\),</span></div></li><li><div class="list-item-content"><span class="list-item-text">the values of \(a\), \(b\), \(c\) and \(d\) if&nbsp;\(X + 3Y = Z\).</span></div></li></ol>

It is given that \(X = \begin{pmatrix} a & 9 \\ 3b & 2 \end{pmatrix}\), \(Y = \begin{pmatrix} 4 & -1 \\ -5 & -3 \end{pmatrix}\) and \(Z = \begin{pmatrix} 9 & 2c \\ 3 & d \end{pmatrix}\). Find

the values of \(a\), \(b\), \(c\) and \(d\) if \(X + 3Y = Z\).

Isolating Variable Matrices within Scalar-Transformed Systems

Isolating Variable Matrices within Scalar-Transformed Systems

Video Solution: