Find the most complete answer. You have 30 minutes.

1. Find a number of independent arbitrary constants in the solution using the operator method for the following system

   

   1. 0
   2. 1
   3. 2
   4. 4
   5. None

2. Find such number c that the set 1,2,3 consists of all eigenvalues of the matrix

   

   1. 1
   2. 2
   3. 3
   4. -2
   5. None

3. Find linearly dependent vectors:

   1. 

   2. 

   3. 

   4. 

   5. None
4. Find a general solution of the system

   

   1. 
   2. 
   3. 
   4. 
   5. None