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Question

Solution

Correct option is

Is not Invertible

    

                      

We have |A| = 0, and hence A is not invertible.

Testing

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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

Q4

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

Q5

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

Q6

The inverse of a skew symmetric matrix of odd order is

Q7

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

Q8

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

Q9

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

Q10

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