Write a System of Linear Equations Represented by the Augmented $$\left[ \begin{array} { r r r | r } 4 & 9 & - 4 & - 12 \\9 & 2 & 7 & 6 \\4 & - 2 & 2 & - 1\end{array} \right]$$

question 102

Multiple Choice

Write a system of linear equations represented by the augmented matrix.
- $$\left[ \begin{array} { r r r | r } 4 & 9 & - 4 & - 12 \\9 & 2 & 7 & 6 \\4 & - 2 & 2 & - 1\end{array} \right]$$

• A) \(4 x + 9 y - 4 z = 12\)
• \(9 x + 2 y + 7 z = - 6\)
• \(4 x - 2 y + 2 z = 1\)
• B) \(4 x + 9 y + 4 z = - 12\)
• \(9 x + 2 y - 2 z = 6\)
• \(- 4 x + 7 y + 2 z = - 1\)
• C) \(4 x + 9 y - 4 z = - 12\)
• \(9 x + 2 y + 7 z = 6\)
• \(4 x - 2 y + 2 z = - 1\)
• D) \(4 x = - 12\)
• \(2 y = 6\)
• \(2 z = - 1\)

Grasp the significance of empirical reasoning in explaining and predicting natural phenomena.

Comprehend the limitations and challenges of empirical research, including generalizability and the influence of extraneous factors.

Understand the criteria used to evaluate empirical arguments, including the tests of relevance, truthfulness of the premises, and logical strength.

Recognize the role of statistical analysis and scientific research design in empirical reasoning.

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