GATE | GATE-CS-2002 | Question 1

The rank of the matrix 

is :

(A)

0

(B)

1

(C)

2

(D)

4

Answer: (B)

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. 

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