Use the Properties of Determinants to Find the Value of the Second

question 182

Multiple Choice

Use the properties of determinants to find the value of the second determinant, given the value of the first.
- $$\left| \begin{array} { r r r } \mathrm { x } & \mathrm { y } & \mathrm { z } \\\mathrm { u } & \mathrm { v } & \mathrm { w } \\1 & - 2 & - 4\end{array} \right| = 119 \left| \begin{array} { r r r } 1 & - 2 & - 4 \\\mathrm { u } & \mathrm { V } & \mathrm { w } \\\mathrm { x } & \mathrm { y } & \mathrm { z }\end{array} \right| = ?$$

• A) 119
• B) -119
• C) 0
• D) Cannot determine

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Definitions:

Fovea Centralis

Region of the retina consisting of densely packed cones; responsible for the greatest visual acuity.

Tectorial Membrane

A structure located in the cochlea of the inner ear that plays a critical role in the process of hearing by interacting with hair cells.

Otolith

Calcium carbonate granule associated with sensory receptors for detecting movement of the head; in vertebrates, located in the utricle and saccule.

Blind Spot

An area in the visual field that lacks light-detecting photoreceptor cells, where the optic nerve exits the retina, leading to a lack of visual perception in this spot.