Practicing Success
If If $A =\left[\begin{array}{lll}2 & -3 & 4\end{array}\right] \quad B=\left[\begin{array}{l}3 \\ 2 \\ 2\end{array}\right]$ $X =\left[\begin{array}{lll}1 & 2 & 3\end{array}\right] \quad Y=\left[\begin{array}{l}2 \\ 3 \\ 4\end{array}\right]$ then AB + XY = |
[28] [24] 28 24 |
[28] |
$A =\left[\begin{array}{lll}2 & -3 & 4\end{array}\right] \quad B=\left[\begin{array}{l}3 \\ 2 \\ 2\end{array}\right]$ AB = [2 × 3 + (-3) × 2 + 4 × 2] = [6 - 6 + 8] AB = [8] $X =\left[\begin{array}{lll}1 & 2 & 3\end{array}\right] \quad Y=\left[\begin{array}{l}2 \\ 3 \\ 4\end{array}\right]$ XY = [1 × 2 + 2 × 3 + 3 × 4] = [2 + 6 + 12] XY = [20] So AB + XY = [28] → AB + XY is a matrix as well |