Requirement This is an individual assignment that covers the content of Chapter 6 and Chapter 7. Please answer following questions. Some of questions are open questions. Please provide your insights and each response is up to 1000 words. 1. Please illustrate the two ways to get “originality” in a paper? (10 points) 2. Please illustrate the two ways to get “intellectual logic” for a paper? (10 points) 3. Please illustrate how to select a suitable topic. (20 points) 4. Please illustrate what linear equation does mean? (10 points) 5. Please illustrate with an example about Cramer’s rule. (10 points) 6. What are the pitfalls of elimination methods? (10 points) 7. For the set of equations (40 points)  2×2 + 5×3 = 9  2×1 + x2 + x3 = 9  3×1 + x2 = 10 (a) Compute the determinant. (b) Use Cramer’s rule to solve for the x’s. (c) Substitute your results back into the original equation to check your results.