MathProblemsBank

1.5.42 Systems of Algebraic Equations

Condition: given a system of linear equations \ (\ left \ {\ begin {array} {l} 2 x_ {1}+x_ {2} -5 x_} -x_ {4} = 2 \\ x_ {1}+x_ {2} +2 x_ {3} = 1 \\ 3 \ \ \\ 3 x_ {1} +4 x_ {2} -3 x_ {3} -x_ {4} = 3 \ end {Array} \ Right. b) solve the system: write out a general solution; c) Find two private solutions of the system, for one of them to make a check.

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.