GATE | GATE-CS-2002 | Question 1

The rank of the matrix GATECS2002 is :
(A) 4
(B) 2
(C) 1
(D) 0


Answer: (C)

Explanation:  

Rank of the matrix is defined as the maximum number of linearly independent vectors (or) the number of non-zero rows in its row-echelon matrix.
A = | 1 1|
| 0 0|
Since, the matrix A is already in echelon form, Just count the number of non-zero rows to get the rank of the matrix = 1.

Please refer http://en.wikipedia.org/wiki/Rank_%28linear_algebra%29



This solution is contributed by Anil Saikrishna Devarasetty .

Quiz of this Question



My Personal Notes arrow_drop_up


Article Tags :

Be the First to upvote.


Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.