An Augmented Matrix That Represents a System of Linear Equations

question 7

Multiple Choice

An augmented matrix that represents a system of linear equations (in variables x,y,z and w if applicable) has been reduced using Gauss-Jordan elimination.Find the solution represented by the augmented matrix.​ $\left[\begin{array}{l}{\begin{array}{cccc}1 & 0 & 0 & \vdots-3\end{array}} \\\begin{array}{llll}0 & 1 & 0 & \vdots-9\end{array} \\\begin{array}{llll}0 & 0 & 1 & \vdots3\end{array} \\\end{array}\right]$ ​

• A)​(-3,9,3)
• B)(3,-9,3)
• C)(-3,-9,3)
• D)(-3,-9,-3)
• E)(-3,3,-9)

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Definitions:

Scaling Questions

A technique used in therapy and coaching to help individuals assess their feelings, beliefs, or behaviors on a scale, aiding in understanding and measuring progress or intensity.

Solution-focused Brief Therapy

A short-term goal-focused therapeutic approach that helps clients change by constructing solutions rather than dwelling on problems.

Transference and Countertransference

Psychological phenomena in therapy where the patient projects feelings about others onto the therapist (transference) and the therapist projects feelings onto the patient (countertransference).

Reality Therapy

A therapeutic approach focusing on addressing present issues and choosing behaviors to solve problems effectively.