Consider the following set of vectors. v1=331,v2=513,v3=173 Then v1,v2, and v3 are linearly dependent if and only if the homogeneous linear system with augmented matrix [A0] has a nontrivial solution. Consider the following equation. c1331+c2513+c3173=000 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}.) {c1,c2,c3}={23t,t,219t} Consider the following set of vectors. v1=234,v2=789,v3=000 Then v1,v2, and v3 are linearly dependent if and only if the homogeneous linear system with augmented matrix [A0] has a nontrivial solution. Consider the following equation. c1234+c2789+c3000=000 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}.) {c1,c2,c3}={} Determine if the vectors v1,v2, and v3 are linearly independent. The set of vectors is linearly dependent. The set of vectors is linearly independent