Find the order of the matrix product $\mathrm{AB}$ and the product $\mathrm{BA}$, whenever the products exist.
-$A$ is $1 \times 3$, B is $1 \times 3$.
A) $\mathrm{AB}$ is $3 \times 1$, BA is $1 \times 3$.
B) $\mathrm{AB}$ is $1 \times 1, \mathrm{BA}$ is $3 \times 3$.
C) $\mathrm{AB}$ is $1 \times 3, \mathrm{BA}$ is $3 \times 1$.
D) $\mathrm{AB}$ is nonexistent, $\mathrm{BA}$ is nonexistent.

Question

Quizplus · Accepted Answer

The product $\mathrm{AB}$ is nonexistent because the number of columns in $A$ does not match the number of rows in $B$. Similarly, $\mathrm{BA}$ is nonexistent for the same reason.

Find the Order of the Matrix Product AB\mathrm{AB}AB And the Product BA\mathrm{BA}BA

Find the Order of the Matrix Product $\mathrm{AB}$ And the Product $\mathrm{BA}$