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

Question

Quizplus · Accepted Answer

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

The Sizes of Two Matrices Are Given 1×41 \times 41×4 ; B Is

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