Given the following set S of matrices, find a matrix A in M3,2 so that SU{A} spans M3,2 and a non-zero matrix B in M3,2 so that SU {B} does not span M3,2. S = 61 9 -5 6 7 " -6 -7 -4 1 4 6 A = = " 00 00 00 59 -6 -6 9 -9 " 6-2 6-2 25 00 B = 0 0 00 " -6 7 29 10 -9

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