# Using detA and detB to calculate the determinant of matrix C

If we have C=($A^t$)$^2$BA$^3$B$^-$$^1A^-$$^3$ and detA=-2 and detB doesnt equal 0, how do we calculate det C?

I know that the transpose of a matrix does not affect the determinant. Does this mean that ($A^t$)$^2$=(-2)$^2$=4?