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

Total Price: Rs.

There are no items in this cart.
Continue Shopping
sumit kumar Grade: 12


suppose  1 2 3

              4 5 6

              7 8 9

is a matrix. Then what is its rank?

8 years ago

Answers : (2)

Rohith Gandhi
24 Points

Dear Sumit,

Column rank is defined as maximum number of linearly independent columns.

Row rank is defined as maximum number of linearly independent rows.

In general both of them are equal, hence rank of a matrix = max no. of independent rows or columns.

In the given matrix, any row cannot be obtained by the linear combination of remaining two rows, which means all the three rows are linearly independent, hence there are 3 independent rows which means Rank of the given matrix is 3

Please feel free to post as many doubts on our discussion forum as you can. If you find any question
Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We
are all IITians and here to help you in your IIT JEE preparation.

All the best Sumit !!!


Askiitians Experts

Rohith Gandhi P

8 years ago
roshan bangaru
18 Points

rank of the above matrix is 3

8 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details