find the solution set of the system of linear equations. Give the values of n and r, and interpret your answers in light of the theorems of this section

 (Chris Black) The augmented matrix for the given linear

system and its row-reduced form are:

Thus, we see we have an equivalent system for any scalar x2:

x₁ = 3 + 2x₂

x₃ = −2

x₄ = −2

For this system, n = 4 and r = 3. Since it is a consistent

system by Theorem RCLS, Theorem CSRN guarantees an infinite number of solutions.