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GATE | GATE-CS-2002 | Question 1

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The rank of the given matrix is –

 

(A)

1
 

(B)

0
 

(C)

2
 

(D)

4
 



Answer: (A)

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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Last Updated : 11 Oct, 2021
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