Question

question 3 of 5
select all the correct answers.
if matrix c is a $2 \times 5$ matrix and the product of matrix c and matrix d, $cd$, exists, what could be the order of matrix d?
$2 \times 3$
$5 \times 2$
$2 \times 2$
$2 \times 5$
$5 \times 3$
$5 \times 5$

Explanation:

Step1: Recall matrix product rule

For matrix product $CD$ to exist, the number of columns of $C$ must equal the number of rows of $D$.

Step2: Identify columns of $C$

Matrix $C$ is $2 \times 5$, so it has 5 columns.

Step3: Match rows of $D$

Matrix $D$ must have 5 rows; its column count can be any positive integer.

Answer:

5 × 2, 5 × 3, 5 × 5