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 $8 \times 4$; $\mathrm { BA }$ is $8 \times 4$.
B) $\mathrm { AB }$ is $1 \times 1$; $\mathrm { BA }$ is $1 \times 1$.
C) $\mathrm { AB }$ is $4 \times 8$; $\mathrm { BA }$ is $4 \times 8$.
D) $\mathrm { AB }$ is $4 \times 4$; $\mathrm { BA }$ is $4 \times 4$.

Question

Quizplus · Accepted Answer

For matrix multiplication, if matrix A is of size $m \times n$ and matrix B is of size $n \times p$, then the product AB will be of size $m \times p$. Since both A and B are $4 \times 4$, the products AB and BA will also be $4 \times 4$.

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

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