if A and B are n* n matrix, and AB is not equal to BA . and ABA is equal to A^2B; BAB is equal to B^2 A; then prove that A+B is not invertible.
Last edited by kamaksh_ice; Aug 25th 2007 at 10:14 PM.
Reason: try this!!
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I think is not true.
Let such that and . Then .
But and and there are not equal.
Is there a typo in the problem? . . The statement is not true . . . If and are matrices, and , . . prove that: .
Let: . . . . .
Ha! red_dog beat me to it ... and explained it better!
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