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 $4 \times 1$; B is $4 \times 1$
A) $\mathrm { AB }$ is $4 \times 4$; BA is $1 \times 1$.
B) AB cannot be calculated; BA cannot be calculated.
C) $\mathrm { AB }$ is $1 \times 4$; $\mathrm { BA }$ is $4 \times 1$.
D) $\mathrm { AB }$ is $4 \times 1$; BA is $1 \times 4$.

Question

Quizplus · Accepted Answer

For matrix multiplication to be possible, the number of columns in the first matrix must be equal to the number of rows in the second matrix. Since both A and B are $4 \times 1$, neither AB nor BA can be calculated due to the mismatch in dimensions required for matrix multiplication.

The Sizes of Two Matrices Are Given 4×14 \times 14×1 ; B Is

The Sizes of Two Matrices Are Given $4 \times 1$ ; B Is