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negation
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Homework Statement
Given2 1 1 0
0 0 1 1
0 0 0 3(i) Show that the rows of A are linearly independent.
(ii) Show that the nonzero rows of any matrix in row echelon form are linearly independent.
The Attempt at a Solution
i)
REF gives
1 0 0 | 0
0 1 0 | 0
0 0 1 | 0
0 0 0 | 0
x1 = x2 = x3 =x4 = 0
The solution set is non-trivial due to the row of zeroes and the system is linearly dependent. The rank is 3 and the basis is {(1,0,0),(0,1,0),(0,0,1)}
ii) Can someone give me a step by step guidance on this part?