Mathematics II - Old Questions

16. Determine if the following system is consistent, if consistent solve the system.

-2x₁ - 3x₂ + 4x₃ = 5

x₁ - 2x₂ = 4

x₁ + 3x₂ - x₃ = 2

OR

Let   and define a transformation   so that 

a) Find T(u)

b) Find x in R² whose image under T is b.