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

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

no - the dimensions are 2x2 * 1x2

the two inner dimensions must match, so undefined.

Apologies for the mistake. You're correct. The product is undefined because the inner dimensions do not match.

The product is defined. The dimensions of the product matrix will be 2x1.