1.5.29 Systems of Algebraic Equations
Condition: to explore the system of linear algebraic equations (prove compatibility, write down the fundamental system of solutions, find and check the general solution): \ [\ left \ {\ begin {array} {l} -2 x_ {1} +7 x_ {2}+{3} -11 x_ {4} = 0 \\ -3 x_ {1} +5 x_ {2} +8 x_ {3} -11 x_ {4} = 0 \ 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.