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Consider the following set of vectors. $v_{1}=?545??,v_{2}=?245??,v_{3}=?5?54??$ only if the homogeneous linear system with augmented matrix $[A?0]$ has a nontrivial solution. Consider the following equation. $c_{1}?545??+c_{2}?245??+c_{3}?5?54??=?000??$ solution ${c_{1},c_{2},c_{3}}={0,0,0}.}$ ${c_{1},c_{2},c_{3}}={$ Determine if the vectors $v_{1},v_{2}$, and $v_{3}$ are lineatly independent. The set of vectors is linearly dependent. The set of vectors is linearly independent:

Solution:-Let v1=[545],v2=[245],v3=[5?54]be given

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