1.5.56 Systems of Algebraic Equations
Condition: a system of three linear equations with three unknowns is given. It is required to record the system in matrix form and solve it by means of matrix calculus. Check the correct calculation of the reverse matrix using multiplication. \ [\ left \ {\ begin {array} {c} -2 x_ {2} -5 x_ {3} = -12 \\ -2 x_ {1} -x_ {2} +3 x_ {3} = 7 \\ -x_ {1}+x_}+x_ {3} = 4} = 4} = 4 \ 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.