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  3. consider the following set of vectors 0 0 v 1 9 c1

Consider the following set of vectors 0 0 V 1 9 C1 Let v and...

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Basic Math

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Consider the following set of vectors 0 0 V 1 9 C1 Let v and v be column vectors in R3 and let A be the 3 x 2 matrix V with these vectors as its columns Then v and v are linearly dependent if and only if the homogeneous linear system with augmented matrix A10 has a nontrivial solution Consider the following equation 9 C 1 7 9 0 0 0 7 9 Solve for C and C 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 0 0 C C Determine if the vectors v and v are linearly independent O The set of vectors is linearly dependent O The set of vectors is linearly independent

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