Which is obtained by reversing the order of the columns of the identity matrix I6.

Question

Consider the matrix:

J₆ = |(0, 0, 0, 0, 0,1), (0, 0, 0, 0, 1,0), (0, 0, 0, 1, 0,0), (0, 0, 1, 0, 0,0), (0, 1, 0, 0, 0,0), (1, 0, 0, 0, 0, 0)|

Which is obtained by reversing the order of the columns of the identity matrix I₆. 

Let P = I₆ + αJ₆,  where α is a non-negative real number. The value of α for which det(P) = 0 is ___________. 

Answer 1

∵ α is non negative

∴ α = 1