Multiple Choice Questions on Consider the following in respect of matrices A and B of same order 1 A2 ndash B2 A B A ndash B 2 A ........... for NDA Exam Preparation

Back to Main Page

Multiple Choice Questions

Consider the following in respect of matrices A and B of same order 1 A2 ndash B2 A B A ndash B 2 A ...........

Mathematics (NDA) Matrices and Determinants
    Download Solution PDF

    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?

    1 only

    Incorrect Answer

    2 only

    Correct Answer

    Both 1 and 2

    Incorrect Answer

    Neither 1 nor 2

    Incorrect Answer
    छोटे Courses बड़े Results
    Master Matrices and Determinants
    Prepare through Micro-courses
    Try Now
    Explanation:

    Matrix product is commutative if both are diagonal matrices of same order.
    ⇒A2−B2=(A+B)(A−B) is not true
    Next,(A−I)(A+I)=0
    ⇒A2+AI−IA−I2=0(\becauseAI=IA)
    ⇒A2=I2 is correct

    By: Munesh Kumari
    ProfileResources

    Let's Discuss

    Master
    Matrices and Determinants
    With abhipedia
    Micro Courses
    Try Now
    What our students have to say
    Review on us
    Download Abhipedia Android App

    Access to prime resources

    Downlod from playstore
    download android app download android app for free