Multiply Matrices

-$A = \left[ \begin{array} { r r r } 3 & - 2 & 1 \ 0 & 4 & - 3 \end{array} \right] , B = \left[ \begin{array} { r r } 3 & 0 \ - 2 & 1 \end{array} \right]$
A) $\mathrm { AB }$ is not defined.
B)
$\left[\begin{array}{rrr}
9 & -6 & 3 \
-6 & 8 & -5
\end{array}\right]$

C) $\left[\begin{array}{rr}
9 & -6 \
-6 & 8 \
3 & -5
\end{array}\right]$
D)
$\left[ \begin{array} { l l } 9 & 0 \ 0 & 4 \end{array} \right]$

Question

Multiply Matrices

-$A = \left[ \begin{array} { r r r } 3 & - 2 & 1 \ 0 & 4 & - 3 \end{array} \right] , B = \left[ \begin{array} { r r } 3 & 0 \ - 2 & 1 \end{array} \right]$
A) $\mathrm { AB }$ is not defined.
B)
$\left[\begin{array}{rrr}
9 & -6 & 3 \
-6 & 8 & -5
\end{array}\right]$

C) $\left[\begin{array}{rr}
9 & -6 \
-6 & 8 \
3 & -5
\end{array}\right]$
D)
$\left[ \begin{array} { l l } 9 & 0 \ 0 & 4 \end{array} \right]$

Quizplus · Accepted Answer

Matrix multiplication is defined when the number of columns in the first matrix is equal to the number of rows in the second matrix. Matrix A has 3 columns, while matrix B has 2 rows, so AB is defined. The mistake in the question setup led to an incorrect conclusion.

Multiply Matrices - A) AB\mathrm { AB }AB Is Not Defined

Multiply Matrices

- A) $\mathrm { AB }$ Is Not Defined