Question: (6). (10 points) Let A, B 6 RM be two linear operators (a). Assume A = %(B +1) , prove A2 z A if and

$(6). (10 points) Let A, B 6 RM\" be two linear$

(6). (10 points) Let A, B 6 RM\" be two linear operators (a). Assume A = %(B +1) , prove A2 z A if and only if B2 = I. (b). If B is an elementary matrix, What type of elementary matrix is B , give an example (excluding B = I)

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