Question: True or False? (If the given statement is true, provide a proof, but if the statement is false, give TWO examples showing that it is

True or False? (If the given statement is true, provide a proof, but if the

statement is false, give TWO examples showing that it is false.)

If A; B; C are n n invertible matrices then the equation

C-1(A + X)B-1 = I

has the solution X = BC - A.

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