Hint : Transform the augmented matrix of the system in an appropriate row echelon form

importance to the quality and completeness of the answers. Correct : no work will receive no credit. With M,, (R) we denote the vector space of the n dimensional squar With Awe denote the inverse of a nonsingular matrix in M,, (R) With A' we denote the transpose of a matrix GOOD LUCK! 1. (i) Find all values of a for which the following system : x+ y- z =2 x+2y+z =3 x + y+(a - 5)z = a (a) has no solution, (b) has infinitely many solutions. (c) has a unique solution (ii) In cases (b), (c) express the general solution(s) of the system. (Hint: Transform the augmented matrix of the system in an appropriate