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; August 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.
Hello, kamaksh_ice! 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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