Question

, then value of α for which A2 = B is

Solution

Correct option is

No real values of α

We have,  

         

As   A2 = B, we get α2 = 1 and α + 1 = 3  

.     

This is not possible.

SIMILAR QUESTIONS

Q1
Q2
Q3

Let A and B be two 2 × 2 matrices. Consider the statements   

(i) AB = O ⇒ A = O or B = O    

(ii) AB = I2 ⇒ A = B–1    

(iii) (A + B)2 = A2 + 2AB + B2.  

Then

Q4

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

Q5

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

Q6

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

Q7

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

Q8

The inverse of a skew symmetric matrix of odd order is

Q9

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