## Math Problem Statement

examin the linear independence of the following set of vector:- [(1,2,3),(1,1,1),(0,1,2)]

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Linear Algebra

Linear Independence

Systems of Linear Equations

### Formulas

Linear combination of vectors: c1*v1 + c2*v2 + ... + cn*vn = 0

System of equations: c1 + c2 + c3 = 0; 2c1 + c2 + c3 = 0; 3c1 + c2 + 2c3 = 0

### Theorems

Linear Dependence Theorem

### Suitable Grade Level

College level (Linear Algebra)

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