#### 100percent

##### Member

- Joined
- Oct 28, 2004

- Messages
- 148

- Gender
- Undisclosed

- HSC
- 2005

5y + 3z = 1

ax + y - z = a - 3

ax + 2y + 2z = a + 2b -2

2ax - 2y = 2a + b

i)use elementary row operations to find the values of a and b for which the equations are inconsistent.

ii)find the values of a and b for which the equations have only one solution, and find this solution.

iii)find the values of a and b for which the equations have more than one solution, and find the general solution in this case.

iv)let A denote the 4 x 3 coefficient matrix of the system. Using your answers to the previous parts, find (without additional calculations) one value of a for which A does not have a left inverse. Explain your answer.