Question: PROBLEM 15 Suppose that A, B are 4 x 4 matrices and A commutes with B. If A? - B has rank 3 and A

PROBLEM 15 Suppose that A, B are 4 x 4 matrices and A commutes with B. If A? - B" has rank 3 and A - B can be transformed to / by EROs, then a) A + B can be transformed to / by EROs b) A -+ B cannot be transformed to / by EROs The rank of A? or the rank of B2 is 3 The rank of A? is larger than the rank of B2

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