Question

Suppose the first two columns, A and B, of matrix B are equal. What can you say about the columns of matrix AB (if AB is defined)? Why?

Answer 1

If the first two columns, A and B, of matrix B are equal, we can say that the columns of matrix AB will also be equal.

Step-by-step explanation:

If the first two columns, A and B, of matrix B are equal, we can say that the columns of matrix AB will also be equal. This is because matrix multiplication involves multiplying the rows of the first matrix by the columns of the second matrix.

Since the first two columns of B are equal, the values in those columns will be multiplied by the corresponding values in the rows of matrix A, resulting in equal columns in the product matrix AB.