The sizes of two matrices are given. Find the size of the product AB and the size of the product BA, if the given product
can be calculated.
-$A$ is $4 \times 4$; B is $4 \times 4$.
A) $\mathrm { AB }$ is $1 \times 1$; BA is $1 \times 1$.
B) $\mathrm { AB }$ is $4 \times 4$; BA is $4 \times 4$.
C) $\mathrm { AB }$ is $8 \times 4$; $\mathrm { BA }$ is $8 \times 4$.
D) $\mathrm { AB }$ is $4 \times 8$; BA is $4 \times 8$.

Question

Quizplus · Accepted Answer

The product of two matrices $A$ and $B$, where $A$ is $4 \times 4$ and $B$ is $4 \times 4$, results in a matrix of size $4 \times 4$, since the inner dimensions match (4 and 4) and the outer dimensions determine the size of the resulting matrix. This applies to both $AB$ and $BA$.

The Sizes of Two Matrices Are Given AAA Is 4×44 \times 44×4

The Sizes of Two Matrices Are Given $A$ Is $4 \times 4$