Use Matrices to Solve the System $$\left\{ \begin{aligned}4 x + 3 y - z & = - 4 \\x - 4 y + 5 z & = 1 \\4 y + 5 z & = 36\end{aligned} \right.$$

question 5

Multiple Choice

Use matrices to solve the system. $$\left\{ \begin{aligned}4 x + 3 y - z & = - 4 \\x - 4 y + 5 z & = 1 \\4 y + 5 z & = 36\end{aligned} \right.$$

• A) \(x = - 3 , y = 4 , z = 4\)
• B) \(x = - 3 , y = - 7 , z = 6\)
• C) \(x = 5 , y = - 4 , z = - 4\)
• D) The system is inconsistent
• E) The equations are dependent

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Definitions:

Tympanic Membrane

Also known as the eardrum, it is a thin membrane that separates the outer ear from the middle ear and vibrates in response to sound waves.

Static Equilibrium

A state where an object is at rest, and the sum of all forces and torques acting on it is zero.

Macula

A small, specialized area on the retina responsible for sharp, detailed central vision.

Utricle

A part of the inner ear involved in sensing linear accelerations and head-tilts in the horizontal plane, contributing to balance and spatial orientation.