(Solved): Consider the following system of linear equations x-3y+2z+3w=1 2x-4y+3z+a^(2)w=-1 -3x+y+az-w=b whe ...

Consider the following system of linear equations

where

and

are real numbers. Using Gaussian elimination, determine all possible values of

and

such that the system has (a) no solution; (b) infinitely many solutions with one free variable; (c) infinitely many solutions with two free variables. Then solve the system in part (c).