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[1 2 3 example : for the matrix a = 2 3 4 show that 3 5 7 column-rank of a = row-rank of a. solution: let r, = [1 2 3], r, = [2 3 4] and r, =[3 5 7] denote the
[1 2 3 Example : For the matrix A = 2 3 4 show that 3 5 7 Column-Rank of A = row-rank of A. Solution: Let R, = [1 2 3], R, = [2 3 4] and R, =[3 5 7] denote the re A R, (i.e.) A = |R2 Ra K K, k e R such that k,R, + kR, + k,R, 0 k,[1 2 3] + k,[2 3 4] + K.[3 5 71 [0 0 0] [k, + 2k, + 3k, 2k, + 3k, + 3k,, 3k, + 4k, + 7k] = [0 0 0 k, + 2k, + 3k, = 0 2k, + 3k, + 5k, = 0 3k, + 4k, + 7k, = 0 k, + 2k, + 3k = 0, 3k, + 4k, + 7k, = 0 Let then because the second equation can be obtained from first and third e k K2 14-12 9-7 4-6 k, =-k 0 k =-k 0 ro linearhe denendent. how this come???
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