Matrix P has a dimensions of 3 X 4 and Matrix Q has the dimensions 4 X 5. Determine the dimensions of the matrix PQ if it is possible. Explain why if it is not.

Group of answer choices

Matrix PQ would have the dimensions 3 X 4

Matrix PQ would have the dimensions 4 X 5

Matrix PQ would have the dimensions 3 X 5

These matrices can not be multiplied because their dimension don't align.

Matrix PQ would have the dimensions 3 X 5

Step-by-step explanation:

In order for a matrix product to be possible, the column dimension of the left factor must match the row dimension of the right factor. The resulting product will have the number of rows of the left factor and the number of columns of the right factor.

The product of a 3*4 matrix and a 4*5 matrix will have dimensions 3*5.