Consider the following set. S = {(8, 0, 0), (0, 4, 0), (0, 0, -6), (8,...

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Consider the following set. S = {(8, 0, 0), (0, 4, 0), (0, 0, -6), (8, 5, -3)} Solve for C₁, C₂, C3, and in the following equation. 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, C4} = {0, 0, 0, 0}.) C₁ (8, 0, 0) + C₂(0, 4, 0) + c3(0, 0, −6) + c(8, 5, −3) = (0, 0, 0) {C₁, C₂, C3, C4} = { [ Consider the following set. S = {(8, 0, 0), (0, 4, 0), (0, 0, -6), (8, 5, -3)} Solve for C₁, C₂, C3, and in the following equation. 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, C4} = {0, 0, 0, 0}.) C₁ (8, 0, 0) + C₂(0, 4, 0) + c3(0, 0, −6) + c(8, 5, −3) = (0, 0, 0) {C₁, C₂, C3, C4} = { [

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