Either the dimensions of two matrices or the matrices themselves are given. Find the dimensions of the product AB and
the product BA. If either is not defined, say so.
-$A$ is $4 \times 4$; B is $4 \times 4$.
A) $\mathrm { AB }$ is $4 \times 8$; BA is $4 \times 8$.
B) $\mathrm { AB }$ is $4 \times 4$; $\mathrm { BA }$ is $4 \times 4$.
C) $\mathrm { AB }$ is $8 \times 4 ; \mathrm { BA }$ is $8 \times 4$.
D) $\mathrm { AB }$ is $8 \times 8$; $\mathrm { BA }$ is $8 \times 8$.

Question

Quizplus · Accepted Answer

For matrix multiplication to be defined, the number of columns in the first matrix must equal the number of rows in the second matrix. Both $A$ and $B$ are $4 \times 4$, so $AB$ and $BA$ are both defined and will result in $4 \times 4$ matrices.

Either the Dimensions of Two Matrices or the Matrices Themselves AAA

Either the Dimensions of Two Matrices or the Matrices Themselves $A$