If A is 3 × 4 matrix and B is a matrix such that A' B' and B' A' are both defined. Then the order of B is(1) 3 × 4 (2) 4 × 4 (3) 3 × 3 (d) 4 × 3

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

If A is 3 × 4 matrix and B is a matrix such that A' B' and B' A' are both defined. Then the order of B is
(1) 3 × 4 (2) 4 × 4 (3) 3 × 3 (d) 4 × 3

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

B_m_×_n A_3×4

A' B' ⇒ A'_4×3 B'_n_×_m = (A'B')_4×4

B'A' ⇒ B'_m_×_m A'_4×3 = (B'A')_m_×3
∴ B_4×3 ∴ (4) dus

Please subscribe our Youtube channel to unlock this solution.