Find the matrix product, if possible. $\left[ \begin{array} { c c c }
3 & - 5 & 0 \
2 & 4 & 1
\end{array} \right] \cdot \left[ \begin{array} { l l }
4 & 5 \
2 & 0
\end{array} \right]$
A) $\left[ \begin{array} { c c c }
12 & - 25 & 0 \
4 & 0 & 4
\end{array} \right]$
B) $\left[ \begin{array} { l l l }
16 & - 25 & 4
\end{array} \right]$
C) $\left[ \begin{array} { c c c }
12 & - 25 & 0 \
4 & 0 & 6
\end{array} \right]$
D) $\left[ \begin{array} { c c c }
7 & 0 & - 1 \
4 & 4 & 5
\end{array} \right]$
E) Undefined

Question

Find the matrix product, if possible.   $\left[ \begin{array} { c c c } 
3 & - 5 & 0 \
2 & 4 & 1
\end{array} \right] \cdot \left[ \begin{array} { l l } 
4 & 5 \
2 & 0
\end{array} \right]$  
A) $\left[ \begin{array} { c c c } 
12 & - 25 & 0 \
4 & 0 & 4
\end{array} \right]$
B) $\left[ \begin{array} { l l l } 
16 & - 25 & 4
\end{array} \right]$
C) $\left[ \begin{array} { c c c } 
12 & - 25 & 0 \
4 & 0 & 6
\end{array} \right]$
D) $\left[ \begin{array} { c c c } 
7 & 0 & - 1 \
4 & 4 & 5
\end{array} \right]$
E) Undefined

Quizplus · Accepted Answer

The matrix product is undefined because the number of columns in the first matrix (3 columns) does not match the number of rows in the second matrix (2 rows). For matrix multiplication to be defined, the number of columns in the first matrix must equal the number of rows in the second matrix.

Find the Matrix Product, If Possible [3−50241]⋅[4520]\left[ \begin{array} { c c c } 3 & - 5 & 0 \\2 & 4 & 1\end{array} \right] \cdot \left[ \begin{array} { l l } 4 & 5 \\2 & 0\end{array} \right][32​−54​01​]⋅[42​50​]

Find the Matrix Product, If Possible $\left[ \begin{array} { c c c } 3 & - 5 & 0 \\2 & 4 & 1\end{array} \right] \cdot \left[ \begin{array} { l l } 4 & 5 \\2 & 0\end{array} \right]$