GATE EE 2016: Rank of AᵀA (Matrix Linear Algebra Question)

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Electrical Engineering > GATE 2016 SET-1 > Linear Algebra

Let A be a 4x3 real matrix with rank 2. Which one of the following statement is TRUE?

A

Rank of A^TA is less than 2.

B

Rank of A^TA is equal to 2.

C

Rank of A^TA is greater than 2.

D

Rank of A^TA can be any number between 1 and 3.

Correct : b

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