1.5.40 Systems of Algebraic Equations
Given the system of linear equations \ (\ left \ {\ begin {array} {l} x_ {1} +2 x_ {2} -10 x_ {3} = 4 \\ 3 x_ {1}+x_ {2} -2 x_}+x_ {4} = 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ 4 x_ {1} +3 x_ {2} -12 x_ {3}+x_ {4} = 7 \ 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.