1.5.39 Systems of Algebraic Equations
Condition: given a homogeneous system of linear equations \ (\ left \ {\ begin {array} {l} 2 x_ {1} +2 x_ {2} -4 x_ {3} = 0 \\ x_ {1} -2 x_ {2}+x_ {3} = 0 \\\ 0 \\ \\ \\ 0 \\ \\ 0 \\ X_ {1} -x_ {3} = 0 \ End {Array} \ Right. b) find a general solution of the system; c) Find a non -trivial private solution (if it exists) 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.