Let A be a non-singular matrix and B=adjA. Which of the following statements is/are correct? 1. AB=BA 2. AB is a scalar matrix 3. AB can be a null matrix Select the correct answer using the code given below :

NDA 2022 Mathematics question

Let be a non-singular matrix and . Which of the following statements is/are correct? 1. 2. is a scalar matrix 3. can be a null matrix Select the correct answer using the code given below :

(A)1 only
(B)1 and 2 onlyCorrect
(C)2 only
(D)1, 2 and 3

Answer: (B)

Solution

. So (statement 1) and is a scalar matrix (statement 2). Since

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Question ID VK-029298