Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

Let X and Y be any two invertible square matrices of order n. Then which of the statements are true ?

(A) $(AB)^{-1}=A^{-1}B^{-1}$

(B) $(AB)^{-1}=B^{-1}A^{-1}$

(C) $(AB)^T=A^TB^T$ where $A^T$ denotes transpose of A

(D)$(AB)^T=B^TA^T$ where $A^T$ denotes transpose of A

Choose the correct answer from the options given below :

Options:

(A) and (C) only

(C) and (D) only

(B) and (D) only

(B) and (C) only

Correct Answer:

(B) and (D) only