Question

Tell whether the product QP is defined for P2×5 and Q5×3. If yes, enter the product's dimensions like this example: 4x3. If not, enter the word NO in the space provided.

Answer 1

If we are talking about linear algebra, then no, they are not defined. In order to multiply 2 matrices, you need to have the second number of the first matrix be the same as the first number on the second matrix. I.e. 2x4 *4x10=2x10 matrix but 2x4*3x10 is not defined.