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)=0\LeftrightarrowA^{2}=I Where I is the identity matrix and O is the null matrix. Which of the above is/are correct? [NDA II 2018]

UPSC NDA II 2018 Mathematics Solved Paper

Question : 35 of 120

Marks: +1, -0

Consider the following in respect of matrices A and B of same order:
1. A2−B2=(A+B)(A−B)
2. (A−I)(I+A)=0⇔A2=I
Where I is the identity matrix and O is the null matrix. Which of the above is/are correct?

[NDA II 2018]

1 only
2 only
Both 1 and 2
Neither 1 nor 2

Validate

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