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  3. consider the following set of vectors 4 0 0 0 v v3

Consider the following set of vectors 4 0 0 0 V V3 V 1 Let...

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Basic Math

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Consider the following set of vectors 4 0 0 0 V V3 V 1 Let V V and v3 be column vectors in R3 and let A be the 3 x 3 matrix V with these vectors as its columns Then V V and v3 are linearly dependent if and only if the homogeneous linear system with augmented matrix A10 has a nontrivial solution Consider the following equation 000 C C 3 C 1 4 4 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 Determine if the vectors V V and v3 are linearly independent O The set of vectors is linearly dependent O The set of vectors is linearly independent

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