Write the System of Linear Equations Represented by the Augmented

question 62

Multiple Choice

Write the system of linear equations represented by the augmented matrix.(Use variables x, y, z, and w.) $\left[ \begin{array} { c c c c c } -1&0&0&3 & \vdots & 2 \\-7&4&0&0 & \vdots & 8 \\0&5&3&-5 & \vdots & - 8\\0&0&-1&-9& \vdots & 9\\\end{array} \right]$

• A) \(\left\{ \begin{array} { r l r }
• - x + 3 w & = 2 \\
• - 7 x + 4 y & = 8 \\
• 5 y + 3 z - 5 w & = - 8 \\
• - y - 9 z & = 9
• \end{array} \right.\)
• B) \(\left\{ \begin{array} { r l r }
• - x + 3 z & = 2 \\
• - 7 x + 4 z & = 8 \\
• 5 y + 3 z - 5 w & = - 8 \\
• - z - 9 w & = 9
• \end{array} \right.\)
• C) \(\left\{ \begin{array} { r l r }
• - x + 3 y & = & 2 \\
• - 7 x + 4 y & = & 8 \\
• 5 x + 3 y - 5 z & = - 8 \\
• - x - 9 y & = 9
• \end{array} \right.\)
• D) \(\left\{ \begin{aligned}
• - x + 3 w & = 2 \\
• - 7 x + 4 y & = 8 \\
• 5 y + 3 z - 5 w & = - 8 \\
• - z - 9 w & = 9
• \end{aligned} \right.\)
• E) \(\left\{ \begin{array} { r l r }
• - x + 3 z & = 2 \\
• - 7 x + 4 y & = 8 \\
• 5 y + 3 z - 5 w & = - 8 \\
• - z - 9 w & = 9
• \end{array} \right.\)

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Definitions:

Network Structure

An organizational design where groups or individuals work more like nodes in a network rather than in a hierarchical management structure, allowing for flexible coordination and collaboration.

Control and Coordination

The process of managing and integrating activities to ensure that organizational goals are efficiently achieved.

Network Complexity

The intricacy and interconnectedness of components within a network, reflecting its diversity, number of nodes, connections, and the degree of their interactions.

Outsourced Activities

Tasks or operations handed over to external entities or companies to capitalize on efficiencies or specialized skills not available internally.