Find the particular solution 𝐱𝑝 to the following equation, which comes from setting all of the free variables to 0.

Question

Find the particular solution x𝑝 to the following equation, which comes from setting all of the free variables to 0.

| 1 -8 -7 2 8 | | -3 |

| 0 0 0 0 0 | x_p = | 0 |

| 0 0 0 0 0 | | 0 |

x₁₌

x₂=

x₃=

x₄=

x₅=

Answer 1

x₂-x₅ are all free variables which are set to zero.

x₁-8x₂-7x₃+2x₄+8x₅ = -3

x₁ = -3