Solve the Problem $A = \left[ \begin{array} { r r r } 2 & - 5 & 3 \\ - 2 & 6 & - 5 \\ - 4 & 7 & 0 \end{array} \right]$

question 49

Multiple Choice

Solve the problem.
-Describe all solutions of Ax = b, where $A = \left[ \begin{array} { r r r } 2 & - 5 & 3 \\ - 2 & 6 & - 5 \\ - 4 & 7 & 0 \end{array} \right]$ and $\mathbf { b } = \left[ \begin{array} { r } - 3 \\ 4 \\ 3 \end{array} \right]$
Describe the general solution in parametric vector form.

• A) \(\left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \end{array} \right] = \left[ \begin{array} { r } 7 / 2 \\ 2 \\ 1 \end{array} \right] + x _ { 3 } \left[ \begin{array} { l } 1 \\ 1 \\ 0 \end{array} \right]\)
• B)
• \[\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 1 \\
• 1 \\
• 0
• \end{array} \right] + x _ { 3 } \left[ \begin{array} { r }
• 7 / 2 \\
• 2 \\
• 0
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 1 \\
• 1 \\
• 0
• \end{array} \right] + x _ { 3 } \left[ \begin{array} { r }
• 7 / 2 \\
• 2 \\
• 1
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { r }
• - 3 \\
• 1 \\
• 0
• \end{array} \right] + x _ { 3 } \left[ \begin{array} { r }
• - 1 \\
• 2 \\
• 1
• \end{array} \right]\]

Recognize the role of barriers to entry in shaping market competition.

Identify the dynamic nature of competition and its impact on consumer choice and business strategies.

Differentiate between price takers and price searchers in market contexts.

Understand the implications of regulatory measures on market entry and competition.

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