A System of Linear Equations and a Reduced Matrix for the System

question 188

Multiple Choice

A system of linear equations and a reduced matrix for the system are given. Use the reduced matrix to find the general solution of the ​
System, if one exists. ​

• A) ​, , for any real number z.
• B) ​ , , for any real number z.
• C) ​ , , for any real number z.
• D) ​ , , for any real number z.
• E) ​no solution

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Definitions:

Hypothalamohypophysial Tract

A neural pathway connecting the hypothalamus to the pituitary gland, integral for the regulation of many bodily functions including stress, growth, and reproduction.

ADH

Antidiuretic Hormone, also known as vasopressin, a hormone that regulates water balance in the body by increasing water reabsorption in the kidneys.

Oxytocin

A hormone and neurotransmitter involved in childbirth and lactation, also associated with empathy, trust, sexual activity, and relationship-building.

Anterior Pituitary

The front part of the pituitary gland, which secretes hormones regulating various physiological processes, including growth and reproduction.