GATE CE 2021 Set 2 — Question 12
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Engineering Mathematics → Linear Algebra → Rank of a Matrix
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Question
The rank of the matrix is
Correct answer
(C) 3
Solution
Let . We can find the rank by reducing the matrix to row-echelon form using elementary row operations:
1.:
2.Swap and :
3.:
4.Swap and :
The number of non-zero rows in the row-echelon form is 3. Thus, the rank of the matrix is 3. The correct option is (C).Continue learning with Success Tracker
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