Inconsistent and Dependent Systems and Their Applications
1 Apply Gaussian $$\begin{aligned}x + y + z + w & = 7 \\3 x - 2 z + 5 w & = 11 \\- 4 x + 3 y + w & = 4 \\- x - y - z - w & = 6\end{aligned}$$

question 57

Multiple Choice

Inconsistent and Dependent Systems and Their Applications
1 Apply Gaussian Elimination to Systems Without Unique Solutions
- $$\begin{aligned}x + y + z + w & = 7 \\3 x - 2 z + 5 w & = 11 \\- 4 x + 3 y + w & = 4 \\- x - y - z - w & = 6\end{aligned}$$

• A) \(\varnothing\)
• B) \(\left\{ \left( \frac { 3 } { 2 } , 1 , \frac { 1 } { 3 } , - 2 \right) \right\}\)
• C) \(\left\{ \left( \frac { 7 } { 4 } , - \frac { 1 } { 2 } , 5 , - \frac { 1 } { 6 } \right) \right\}\)
• D) \(\left\{ \left( - 11 , \frac { 7 } { 19 } , \frac { 6 } { 19 } , - 4 \right) \right\}\)

Understand the concept of double taxation particularly relating to savings and investments.

Identify taxes that are based on principles of equity and efficiency in economic contexts.

Understand how changes in asset values impact both economic and taxable income.

Comprehend the difficulties in applying the benefits-received principle in creating tax policies.

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