An engineer is posed with a problem on an electrical system whose current flow is modelled by the system of linear equations. The system has current 1, for j = 1,2 and 3. For the system to function properly, all I's must exist. 21₂ + 51₂ = 7 71₁ + 1₂-21₂ = 6 21₁ +31 +81₂ = 13 a) Find the I's using the Gauss Jordan's method and determine if the electrical system will function under the above linear model.