1.5.44 Systems of Algebraic Equations
Condition: a system of linear equations \ (\ left \ {\ begin {array} {c} x_ {1}+x_ {3} -2 x_ {4} = 1 \ \ 3 x_ {1} -x_ {3} +2 x_ {4} = 3 \ \ \ 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4 \ 4 \ 4 \ 4 \ 4 \ 4 \ 4 \ 4 \ 4 \ 4 \ 4 \ 4 \ 4 \ 4 \ 4 \ 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ 4 \\ 4 \\ 4 \\ 4 \\ 4 \\ 4 \\ 4 \\ 4 \\ 4 X_ {1} -x_ {2} = 4 \ End {Array} \ Right. b) solve the system: write out a general solution; c) Find a private solution of the system and do a check for it.
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.