Let a be a matrix of third order, and | a | = & frac12;; the - 1 power of determinant | (2a) + A * | =? A=4 B=-4 C=2 D=-2 E=-1 F=1

Let a be a matrix of third order, and | a | = & frac12;; the - 1 power of determinant | (2a) + A * | =? A=4 B=-4 C=2 D=-2 E=-1 F=1

A*=|A|A^-1
|(2A)^-1+A*|=|(1/2)*A^-1+(1/2)*A^-1|
=|A^-1|
=1/|A|
=2
So choose C