The Matrix Associated with the Solution to a System of Linear

question 50

Multiple Choice

The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the
system, if it exists.
- $$\left[ \begin{array} { l l l | r } 1 & 0 & 0 & 3 \\0 & 1 & 0 & - 14 \\0 & 0 & 1 & 1\end{array} \right]$$

• A) \(x = 3 , y = - 14 , z = - 1\)
• B) \(x = 3 , y = - 14 , z = 1\)
• C) \(x = - 3 , y = - 14 , z = - 1\)
• D) \(x = - 3 , y = - 14 , z = 1\)

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Definitions:

Physical Disorders

Health problems that affect the body's structure or function not primarily originating from mental factors.

DSM-IV

The fourth edition of the Diagnostic and Statistical Manual of Mental Disorders, a classification system for psychiatric diagnoses published by the American Psychiatric Association.

Diabetes

A chronic health condition where the body is unable to properly process glucose, leading to high blood sugar levels.

Axis II

A categorization within the DSM-IV (Diagnostic and Statistical Manual of Mental Disorders, 4th Edition) for personality disorders and intellectual disabilities.