Q1) Under what conditions on a and b will the following linear system have no solutions, one solution, infinitely many solutions? 2x-3y=a 4x-6y=b 02) find the augmented matrix for the linear system. 2xy + 2xy = 1 3x; -x +4x)=7 6x: +X-X=0 Q3) solve the linear system by Gaussian elimination. -2x + 5x + 2x1 8x1+x+4x)=-1 Q.4) In Exercises 13-14, determine whether the homogeneous sys- tem has nontrivial solutions by inspection (without pencil and paper). 13. 2x3x2 + 4x3x=0 7x + x8x3 + 9x = 0 2x + 8x + x3 - x = 0 14. x + 3x2x3 = 0 X - 8x3 = 0 4x3 = 0