Determine whether the product is defined or undefined. If defined, give the dimensions of the product matrix.

[4 5];[9 -2] [1 7]

1 answer

To determine whether the product is defined, we need to check if the number of columns in the first matrix is equal to the number of rows in the second matrix.

The first matrix [4 5] has 2 columns.
The second matrix [9 -2] [1 7] has 2 rows.

Since the number of columns in the first matrix is equal to the number of rows in the second matrix, the product is defined.

To find the dimensions of the product matrix, we take the number of rows from the first matrix and the number of columns from the second matrix.

The product matrix will have 2 rows and 2 columns.