1.5.53 Systems of Algebraic Equations
Condition: solve the system of equations by Gauss. Indicate the general and one private decisions. \ [\ left \ {\ begin {array} {l} -3 x_ {1} +2 x_ {2} +5 x_ {3} -2 x_ {4} = -1 \\ -4 x_ {1} +13 x_ {3}+x_} = -10 \\ -2 -2 x_ {1} +3 x_ {2} -3 x_ {3} -4 x_ {4} = 6 \\ 2 x_ {1} -4 x_ {2} +3 x_ {3} +5 x_ {4} =-8 \ 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.