EC > GATE 2013 SET-3 > Linear Algebra
Let A be an m×n matrix and B an n×m matrix. It is given that determinant(Im + AB) = determinant(In + BA), where Ik is the k×k identity matrix. Using the above property, the determinant of the matrix given below is
[2 1 1 1]
[1 2 1 1]
[1 1 2 1]
[1 1 1 2]
A
2
B
5
C
8
D
16

Correct : b

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