SOLUTION: 1. Prove that, for square matrices A and B, AB = BA if and only if (A - B)(A + B) = A^2 - B^2 2. Solve the equation XA^2 = A^-1 for X, assuming all matrices involved are inverti

Algebra ->  Matrices-and-determiminant -> SOLUTION: 1. Prove that, for square matrices A and B, AB = BA if and only if (A - B)(A + B) = A^2 - B^2 2. Solve the equation XA^2 = A^-1 for X, assuming all matrices involved are inverti      Log On