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Consider the following set of vectors. -8-8-8 Let v, V2, and v3 be (column) vectors in R3 and let A be the 3 x

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Consider the following set of vectors. -8-8-8 Let v, V2, and v3 be (column) vectors in R3 and let A be the 3 x 3 matrix homogeneous linear system with augmented matrix [A10] has a nontrivial solution. Consider the following equation. [V1 V2 V2 V3] with with these vectors as its columns. Then V1, V2 , and v3 are linearly dependent if and only if the 9848-44-8 Solve for C1, C2, 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 {C1, C2, C3) = {0, 0, 0}.) k, -k, k {-} x Determine if the vectors V, V2, and v3 are linearly independent. 1' The set of vectors is linearly dependent. The set of vectors is linearly Independent.

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