If the order of matrix A is 4 × 3, order of matrix B is 4 × 5 and order of matrix C is 5 ×3, then the order of matrix (BC)A' is :

4 × 3 4 × 4 3× 4 5 × 3

4 × 4

The correct answer is Option (2) → 4 × 4 $(B_{4×5}C_{5×3})(A^T)_{3×4}$ $=(BC)_{4×3}(A^T)_{3×4}$ $=(BCA^T)_{4×4}$ order → $4×4$