Consider the following set of linear equations

(h = lamda)

(h-3)x + y =0

x + (h-4)y =0

i)for which value(s) of the parameter h will the system have nontrivial solutions?

ii)find the solution space for the case when there are many solutions?

b)Consider the following set of linear equations:

a(x1) - 2(x2) = k

2(x1) - 2(x2) = 2

i)Find the values of a and k such that the system has infinite,one and none solutions

ii)Find the solution and the solution space for the cases when the system has one and infinitely many solutions respectively

Can you show as much working as possible