Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Let A be any matrix such that A2=0 matrix then does it implies A is a zero matrix?

Let A be any matrix such that A2=0 matrix then does it implies A is a zero matrix?

Grade:12

3 Answers

prashanth
22 Points
7 years ago

yes

Vinay Modani
22 Points
7 years ago

Not necessarily. 

If A2 = 0, then such matrix A is known as Nilpotent Matrix. 

e.g. A = 

0 1
0 0

This matrix A is not equal to zero but A2 will be equal to zero. 

Amit Jain
askIITians Faculty 32 Points
7 years ago
Not at all. Consider A = 0 1
0 0
It is not zero but A^2=0.

Amit Jain
IITD
AskIITians

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free