Question

If A and B are two square matrices such that B = –A–1 BA, then (A + B)2 is equal to 

Solution

Correct option is

A2 + B2

.  

Now,

         

                          

                          .

SIMILAR QUESTIONS

Q1

Let A, B be two n × n matrix such that A + B = AB, then

Q2

If A and B are symmetric matrices, then AB – BA is a

Q3

The inverse of a symmetric matrix (if it exists) is

Q4

The inverse of a skew symmetric matrix (if it exists) is

Q5

The inverse of a skew symmetric matrix of odd order is

Q6

If A is an orthogonal matrix, then |A| is

Q7

If A is a non-singular matrix of size 3 × 3, then adj (adj A) is equal to

Q8

If A and B are two non-zero square matrices of the same order such that the product AB = O, then