$\left[ \begin{array} { c c c | c } 1 & 0 & - 3 & 2 \\0 & 1 & 1 & 4 \\0 & 0 & 0 & 0\end{array} \right]$

question 163

Multiple Choice

$\left[ \begin{array} { c c c | c } 1 & 0 & - 3 & 2 \\0 & 1 & 1 & 4 \\0 & 0 & 0 & 0\end{array} \right]$

• A) infinitely many solutions of the form \(x = 2 - 3 z , y = 4 - z , z = z\)
• B) infinitely many solutions of the form \(x = 2 + 3 z , y = 4 + z , z = z\)
• C) infinitely many solutions of the form \(x = 2 + 3 z , y = 4 - z , z = z\)
• D) infinitely many solutions of the form \(x = 2 - 3 z , y = 4 + z , z = z\)

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Definitions:

Rule of Law

The principle that all people and institutions are subject to and accountable to law that is fairly applied and enforced.

Autocracies

Forms of government where power is concentrated in the hands of a single individual or a small group, with little to no participation or opposition from the populace.

Support

Assistance or backing provided by an individual or group to another, often implying emotional, financial, or physical help.

Social Institutions

Established sets of norms and structures that guide society, including family, religion, education, and the economy.