Statement I |M2|=|M×M|=|M|⋅|M|=|M|2 ⇒ Statement I is correct. Statement II For a non-singular matrix, M×M−1=I, where I is the identity matrix. |M|⋅|M−1|=|I|=1 ⇒ Statement II is incorrect unless |M|=±1. Statement III The determinant of a matrix is equal to the determinant of its transpose: |M|=|MT| ⇒ Statement III is correct. Out of the three statements, two are correct: I and III.