Tutorial 2.1
\begin{equation*}
\text{If } A = \begin{pmatrix} 3\\2\\-1 \end{pmatrix}, B = \begin{pmatrix} 3 & -1 & 2\\0 & 1 & 3\\-1 & -2 & 0 \end{pmatrix}, C = \begin{pmatrix} 1 & 0 & -1\\2 & 3 & 1\\1 & 0 & 1 \end{pmatrix} \text{ and } D = \begin{pmatrix} 2 & -1 & 5 \end{pmatrix}, \text{ determine:}\\i. 3(B + C^T)\\ii. BC - AD
\end{equation*}
Tutorial 2.2
\begin{equation*}
\text{If matrices } A = \begin{pmatrix} x^2 & 0\\1 & y+4 \end{pmatrix} \text{ and } B = \begin{pmatrix} y^2+6 & 0\\1 & x \end{pmatrix}, \text{ then find all values}\\ \text{of x and y such that}\\i. A = B\\ii. A - B = I \text{ where I is an identity matrix}
\end{equation*}
