GATE CE 2015 Set 2 — Question 25
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Engineering Mathematics → Linear Algebra → Rank of a Matrix
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Question
Let with and . The rank of is:
Correct answer
(B) 1
Solution
The matrix is defined by . This means . Each row is equal to . Since all rows are linearly dependent on the first row (they are all scalar multiples of the vector ), the rank of the matrix is 1.
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