Question

determine whether the product is defined or undefined if defined give the dimensions of the product matrix
[4 5 9 -2] [1 7]

Answer 1

To determine whether the product of two matrices 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 has dimensions 1 x 4, meaning it has 1 row and 4 columns.
The second matrix has dimensions 2 x 1, meaning it has 2 rows and 1 column.

Since the number of columns in the first matrix (4) is equal to the number of rows in the second matrix (2), 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. Therefore, the product matrix will have dimensions 1 x 1.