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Matrix Determinants, Transposes and Inverses

If A and B are 3X3 matrices with Det(a)=2 and Det(b)=3 ... if possible evaluate the following expressions

1 Det(2AB)

2 Det(A^4 B^T a^-1)

Where T is transpose and -1 is INVERSE

Solution Summary

Matrix determinants, transposes and inverses are investigated. The solution is detailed and well presented.