1.5.55 Systems of Algebraic Equations
Condition: solve a homogeneous system of equations. Indicate the general solution and the fundamental system of solutions. \ [\ left \ {\ begin {array} {l} 3 x_ {1} +2 x_ {2} +2 x_ {3}+x_ {4} = 0 \\ -3 x_ {1}+x_ {2} -x_ {3}+x_ {4} = 0 \ \ \ 9 x_ {1} +3 x_ {2} +3 x_ {3} -2 x_ {4} = 0 \\ -9 x_ {1} -4 x_ {3} +7 x_ {4} = 0 {arry} \ 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.