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Consider the following set of vectors V 0 0 C1 V 5 V3 0 8...

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Consider the following set of vectors V 0 0 C1 V 5 V3 0 8 5 1 Let V V V3 and v4 be column vectors in R4 and let A be the 4 x 4 matrix V V V3 V4 only if the homogeneous linear system with augmented matrix A10 has a nontrivial solution Consider the following equation 0 0 0 Solve for C C C3 and C4 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 C4 0 0 0 0 C C C3 C4 C4 0 with these vectors as its columns Then V V V3 and v4 are linearly dependent if and Determine if the vectors V V V3 and v4 are linearly independent O The set of vectors is linearly dependent O The set of vectors is linearly independent

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