Linearly Dependent and Independent vectors Linear Algebra

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Example 1 Prove that the vectors (1, 0, 1), (1, 1, 0) and (1, 1, -1) are linearly independent (LI)
Example 2 Prove that the vectors (1,1,1), (1, -1,1) and (3,-1,3) are linearly dependent (LD) and find there relationship
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