Question

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

Answer 1

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.

$CA = (2 \times 3)(3 \times 2)$

The inner products are the same.

Hence the matrix multiplication, CA is defined and its dimension is the outer products.

$2 \times 2$