3 2 3 (a) Let A = and B = Find -1 2 1 2 (i) tr BB). (ii) the matrix X such that XA
3 2 3 (a) Let A = and B = Find -1 2 1 2 (i) tr BB). (ii) the matrix X such that XA = 3X + BT. (b) Does there exist a 3x3 real matrix C such that C' + 2C+(R+2)I, is the zero matrix? If yes, please exhibit one. Otherwise, explain why such a matrix C does not exist. (Note: The entries of a real matrix are all real numbers.)
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