Consider the system of equations, -x- 2y + z = 2x (3k2) y + (3k 2)...

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Consider the system of equations, -x- 2y + z = 2x (3k2) y + (3k 2) z = 83 k x+2y+ (k 5) z == 2 where x, y, z R are variables and kR is fixed. (a) Determine the values of k for the following solution cases: i. The value of k for which the system has no solutions is k = ii. The value of k for which the system has multiple solutions is k = x (b) Find all solutions to the system in case (ii) above. Express these in the form = b+av 2 where v and b are vectors and a R. + a Y = z For example, if your solution is x = 3, y = 2 + 3a, z = a, then this would be expressed 3 a 3 0-0 1 Consider the system of equations, -x- 2y + z = 2x (3k2) y + (3k 2) z = 83 k x+2y+ (k 5) z == 2 where x, y, z R are variables and kR is fixed. (a) Determine the values of k for the following solution cases: i. The value of k for which the system has no solutions is k = ii. The value of k for which the system has multiple solutions is k = x (b) Find all solutions to the system in case (ii) above. Express these in the form = b+av 2 where v and b are vectors and a R. + a Y = z For example, if your solution is x = 3, y = 2 + 3a, z = a, then this would be expressed 3 a 3 0-0 1