Question: Let \[{{u}_{1}}=\left( 3,3,6 \right),\text{ }{{u}_{2}}=\left( 4,4,3 \right)\text{ and }{{u}_{3}}=\left( 6,3,3 \right)\], write \[v=\left( 41,5,12 \right)\] as a linear combination { \[{{u}_{1}},\text{ }{{u}_{2}},\text{ and }{{u}_{3}},\] } if possible.