Question

If F is a 3x5 matrix, which of the following matrices could F be multiplied by?

Answer 1

ANSWER

The correct answer is option B.


EXPLANATION

We can only multiply two matrices if and only if the number of columns in the first matrix is equal to the number of rows in the second matrix.


The first matrix given to us has the dimension,

$3 \times 5$

This matrix has 5 columns.


So the second matrix must have 5 rows.


Among the possible answers, the matrix that has 5 rows is the one with dimension,

$5 \times 6$
Therefore the correct answer is B.


Note that, the dimension of a matrix is given by
$row \times column$