Determine if the product CA is defined. If the product is defined, state its dimensions. Do not calculate the product.

ANSWER
The multiplication, CA is defined, and its dimension is 3×2
EXPLANATION
Matrix A is a 2x3 matrix.
Matrix C is a 3×2 matrix.
The product of the two matrices , CA, is defined if and only if the inner product of their dimension are the same.
[tex]CA = (2 \times 3)(3 \times 2)[/tex]
The inner products are the same.
Hence the matrix multiplication, CA is defined and its dimension is the outer products.
[tex]2 \times 2[/tex]