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Consider the following set of vectors 1 4 V Let V V and v3 be...

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Consider the following set of vectors 1 4 V Let V V and v3 be column vectors in R3 and let A be the 3 x 3 matrix x V V V3 homogeneous linear system with augmented matrix A10 has a nontrivial solution Consider the following equation Solve for C C and C3 If a nontrivial solution exists state It or state the general solution in terms of the parameter t If only the trivial solution exists enter the trivial solution C C C3 0 0 0 C C C3 X Determine if the vectors V V and v3 are linearly independent The set of vectors is linearly dependent The set of vectors is linearly Independent with these vectors as its columns Then V V and v3 are linearly dependent if and only if the

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