Question: please show work and explanation (d) Let A, B be n x n matrices with detA = -2, detB = 3. Calculate the value of

please show work and explanation

(d) Let A, B be n x n matrices with detA = -2, detB = 3. Calculate the value of the determinant of (AT B-1)3. (e) TA = Ax, where A E R2x2, is a linear transformation that first rotates vectors in counterclockwise by 7 /2 radians about the origin, then reflects them across the x-axis. What is the value of detA? (f) If A = 2 2 and the determinant of 2c 2d 1 - c b -d = 5, then detA =

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