Consider the following in respect of matrices A and B of same order : 1. A^2-B^2=(A+B)(A-B) 2. (A-I)(I+A)=O A^2=I where I is the identity matrix and O is the null matrix. Which of the above is/are correct?

NDA 2018 Mathematics question

Consider the following in respect of matrices A and B of same order : 1. 2. where I is the identity matrix and O is the null matrix. Which of the above is/are correct?

(A)1 only
(B)2 onlyCorrect
(C)Both 1 and 2
(D)Neither 1 nor 2

Answer: (B)

Solution

1: , which equals only when ; not true in general. 2: since A

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Question ID VK-028966