# SOLUTION: If E is any n x n matrix with E^2 = Identity matrix, what is (Identity matrix + E)(Identity matrix - E)? What is (Identity matrix - E)(Identity matrix + E)?

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 Question 188994: If E is any n x n matrix with E^2 = Identity matrix, what is (Identity matrix + E)(Identity matrix - E)? What is (Identity matrix - E)(Identity matrix + E)?Answer by stanbon(57307)   (Show Source): You can put this solution on YOUR website!If E is any n x n matrix with E^2 = Identity matrix, what is (Identity matrix + E)(Identity matrix - E) = I -E + E - E^2 = I-E^2 ------------------------------- What is (Identity matrix - E)(Identity matrix + E) = I + E - E - E^2 = I - E^2 =============================================== Cheers, Stan H. --------------------------------------