Question

What products are defined for these matrices?

Drag the operation to the boxes to correctly complete the table.

Answer 1

Product is defined
`{}`

(ML, MP, NM, PQ, PL, LP, MQ, LQ)

Product is not defined

(LM, PM, MN, QP, QM, NQ, QN, NL, LN, NP, PN, QL)

Explanation:

During multiplication of matrices, the number of columns of the first matrix must be equal to the number of rows of the second matrix it is multiplying.

Therefore, we can only multiply a m×n matrix to a n×c matrix as follows;

We can only multiply (m×n)·(n×c) → Product is defined

We can not multiply (n×c)·(m×n) →∞ Product is not defined.