The Matrix Is the Reduced Echelon Matrix for a System $$\left[ \begin{array} { r r r r | r } 1 & 0 & 0 & 0 & 0 \\0 & 1 & 0 & 0 & - 4 \\0 & 0 & 1 & 0 & 0 \\0 & 0 & 0 & 1 & - 1\end{array} \right]$$

question 18

Short Answer

The matrix is the reduced echelon matrix for a system with variables x 1 , x 2 , x 3 , and x 4 . Find the solution set of the system. $$\left[ \begin{array} { r r r r | r } 1 & 0 & 0 & 0 & 0 \\0 & 1 & 0 & 0 & - 4 \\0 & 0 & 1 & 0 & 0 \\0 & 0 & 0 & 1 & - 1\end{array} \right]$$ If a system is inconsistent, so indicate.

---

Definitions:

Hepatic Portal Vein

A blood vessel that carries blood from the gastrointestinal tract and spleen to the liver, rich in nutrients and toxins.

Nutrient-rich Blood

Blood that is high in oxygen and nutrients, supplied by the circulatory system to feed cells throughout the body.

Liver

A large essential organ in the body involved in numerous metabolic processes, including detoxification, protein synthesis, and the production of biochemicals necessary for digestion.

Mean Arterial Pressure

A measure of the average pressure in a person's arteries during one cardiac cycle, crucial for ensuring adequate tissue perfusion.