GATE EE 2016 Set 1 — Question 39
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Engineering Mathematics → Linear Algebra → Rank of a Matrix
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Question
Let be a real matrix with rank 2. Which one of the following statement is TRUE?
Correct answer
(B) Rank of A^T A is equal to 2.
Solution
For any real matrix , the rank of the product is equal to the rank of .
Mathematically, .
Given , it follows that .
Mathematically, .
Given , it follows that .
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