Solve Each System of Equations Using Matrices (Row Operations) $$\begin{array} { l } x - y + 2 z + w = 2 \\y + z = 2 \\z - w = 3\end{array}$$

question 130

Multiple Choice

Solve each system of equations using matrices (row operations) . If the system has no solution, say that it is inconsistent.
- $$\begin{array} { l } x - y + 2 z + w = 2 \\y + z = 2 \\z - w = 3\end{array}$$

• A) \(\varnothing\)
• B) \(\{ ( - 9 , - 2,4,1 ) \}\)
• C)\(\{(-5-4 \mathrm{w},-1-\mathrm{w}, 3+\mathrm{w}, \mathrm{w})\}\)
• D) \(\{ ( - 5 , - 1,3 , \mathrm { w } ) \}\)

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Definitions:

Posterior Tibial Artery

A major artery of the lower leg, supplying blood to the posterior compartment of the leg and plantar surface of the foot.

Gonadal Artery

An artery that supplies blood to the gonads; the testicular artery in males and the ovarian artery in females, crucial for reproductive organ function.

Posterior Tibial Artery

An artery located behind the tibia bone in the lower leg, it supplies blood to the posterior compartment of the leg and plantar surface of the foot.

External Iliac Artery

A major artery that supplies blood to the lower limbs, originating from the common iliac artery.