1.5.18 Systems of Algebraic Equations

Condition: Find the solution of the system of linear equations depending on the values of the parameter \ (\ lambda \). At what values \ (\ lambda \) Does the system allow the solution using a reverse matrix? \ [\ left \ {\ begin {array} {c} -4 x^{1} -5 x^{2} +2 x^{3}+\ lambda x^{4} = 4 \ lambda -1 {1} +3 x^{2} +122222222222 x^{3} +17 x^{4} = 2 \ lambda-5 \\ 2 x^{1}+x^{2}+\ lambda x^{3} -5 x^{4} =-4 \ lambda-7 \\ 3 x^^{2} -7 -7 -7 -7 -7 x^{3} -9 x^{4} =-3 \ lambda+2 \ end {Array} \ Right. \]