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(Solved): Problem 4 Let A and B be two 3\times 3 matrices satisfying the following conditions: AB=OO denotes t ...



Problem 4 Let A and B be two 3\times 3 matrices satisfying the following conditions: AB=OO denotes the 3\times 3 zero matrix(A+2B)(2A-B)=I Which of the following statements is not true? (a) A=O. (b) BA=O. A+2B=(2A-B)^(-1) (b) BA=O. 2A-B=((A+2B)^(-1))/(A^(-1)+2B^(-1)) (c) A+2B is invertible. (d) A+B is invertible. (e) B=O, if A^(2)+B^(2)=(1)/(2)I.


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