lf the order of A is 4 × 3, the order of B is 4 × 5 and the order of C is 7 × 3, then the order of (AᵀB)ᵀ C ᵀ is
The trick is Aᵀ is 3×4, so AᵀB is 3×5. Then (AᵀB)ᵀ is 5×3. Cᵀ is 3×7. Multiply 5×3 with 3×7 =5×7. Final order 5×7.
Ref: NCERT Mathematics Class XII — Matrices and Determinants