
1.5.27 Systems of Algebraic Equations
Condition: solve the system of algebraic equations: \ [\ left \ {\ begin {array} {c} 2 x_ {1} -x_ {2} -x_ {3}+x_ {4}+x_ {5} = 0 \\ x_ {1} -2 -2 x_ {2}+x_ {3} -x_ {4} -x_ {5} =-3 \\ -2 x_ {1} +2 x_ {2}+x_ {3} +2 x_} -x_ {5} = 3 \\ 3 x_ {1} -4 x_} -3 x_ {4} =-6 \\ 5 x_ {1} -5 x_ {2} -x_ {3} -2 x_ {4}+x_ {5} =-6 \ end {array} \ right. \]
Solving Systems of Algebraic Equations by the Methods of Gauss, Jordan-Gauss, Cramer and Using the Inverse Matrix. Homogeneous and non-Homogeneous Systems of Equations.