GATE | GATE-CS-2002 | Question 1

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

Answer: (C)


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

This solution is contributed by Anil Saikrishna Devarasetty .

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