Find the matrix product, if possible.
-$ \left[\begin{array}{rr}3 & -1 \ 3 & 0\end{array}\right]\left[\begin{array}{rr}0 & -1 \ 3 & 6\end{array}\right] $
A) $ \left[\begin{array}{ll}0 & 1 \ 9 & 0\end{array}\right] $
B) $ \left[\begin{array}{rr}-3 & -9 \ 0 & -3\end{array}\right] $
C) $ \left[\begin{array}{rr}-3 & 0 \ 27 & -3\end{array}\right] $
D) $ \left[\begin{array}{rr}-9 & -3 \ -3 & 0\end{array}\right] $

Question

Quizplus · Accepted Answer

To find the product of two matrices, multiply each row of the first matrix by each column of the second matrix and sum the products. For the given matrices:- The element in the first row, first column is $3*0 + (-1)*3 = -3$.- The element in the first row, second column is $3*(-1) + (-1)*6 = -3 - 6 = -9$.- The element in the second row, first column is $3*0 + 0*3 = 0$.- The element in the second row, second column is $3*(-1) + 0*6 = -3$.Thus, the product is $ \left[\begin{array}{rr}-3 & -9 \ 0 & -3\end{array}\right] $.

Find the Matrix Product, If Possible [3−130][0−136] \left[\begin{array}{rr}3 & -1 \\ 3 & 0\end{array}\right]\left[\begin{array}{rr}0 & -1 \\ 3 & 6\end{array}\right] [33​−10​][03​−16​]

Find the Matrix Product, If Possible $\left[\begin{array}{rr}3 & -1 \\ 3 & 0\end{array}\right]\left[\begin{array}{rr}0 & -1 \\ 3 & 6\end{array}\right]$