Question

Which matrix multiplication is possible?

Answer 1

ANSWER

The correct answer is D


Step-by-step explanation

We use the dimensions of a matrix to determine if the multiplication of any two given matrices is possible.

Option A

The dimensions are


`(1* 2 \: ) * ( \: 1 *2)`


The inner products are not the same, so the matrix multiplication is not possible.

Option B


`(2 * 1) * (2 * 2)`

The inner products are not the same so matrix multiplication is not possible.


Option C


`(2 * 2) * (1 * 2)`


The inner products are not the same so matrix multiplication is not possible.


Option D


`(2 * 1) * (1 * 2)`


The inner products are the same. Matrix multiplication is possible.

The resulting matrix will have dimension


`(2 * 2)`

The correct answer is D