Computer Sciences > GATE 2024 Set-2 > Linear Algebra
Let A be an n x n matrix with real number entries, where n > 2. Let B be a matrix obtained by interchanging two rows of A. Which of the following statements is/are always TRUE?
A
The determinant of B is the negative of the determinant of A
B
The rank of B is equal to the rank of A
C
If A is invertible, then B is also invertible
D
If A is symmetric, then B is also symmetric

Correct : a,b,c

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