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Mathematics Q1. (b) Solution of the set of equations using Inverse Matrix Method The augmented matrix for the given set of simultaneous equations is the following Applying the following transformations R2 R2 – R1; R3 R3 – R1 and R4 R4 – R1 Applying the following transformations R4 R4 – R2 - R1 Applying the following transformations R2 (1/p)*R2; R3 (1/q)*R3 and R4 (1/pq)*R4 Hence, the solution is a = u1 b = (u2 – u1)/p c = (u3 – u1)/q and d = (u4 – u3 – u2 + u1)/pq Q1.

10 Pages(2500 words)Essay

Plato's Academy The garden used by the citizens for gymnastics was purchased by Plato who eventually built a house establishing the school that became known as the Academy from the name of the mythical Academus (Chermiss 1980).
However, the Academy was not a formal school in the traditional sense of this word.

4 Pages(1000 words)Essay

College Geometry - neutral geometry and Euclidean geometry Initially, it dealt with areas, volumes, and lengths but in the 3 BC, geometry took a new path as a result of efforts from Mathematicians such as Euclid with his Euclidean geometry. He laid down the foundation of today's geometry; absolute geometry is type of geometry that has developed in the recent years by designing some of the theories and axioms of Euclidean geometry by Mathematician Janos Bolyai in 1892.

3 Pages(750 words)Essay

Platos philosophical approach Your case study may include anything that you feel is worthy of inclusion; however, it must include the following:
Before taking philosophy class, I had always wondered why I w as brought into this world. I had often thought that philosophy was the study of the different techniques to win a debate or an argument.

4 Pages(1000 words)Essay

Lines Written a few miles above Tintern AbbeyLife switched from being primarily dictated by the land one owned to a social structure based on commerce and manufacturing (Greenblatt, 2005). The countryside was becoming developed and a sudden reverence for the nostalgic past grew in response.

4 Pages(1000 words)Essay

MathematicsIn this paper, we will investigate what is currently known about this problem.
Warings Problem was proven for all k by Hilbert in 1909 (Ellison 1971), with the Hilbert-Waring Theorem. Prior to that, the problem was solved in the

6 Pages(1500 words)Essay

Mathematics Essay Mathematics not only forms the very basis of Science but is the essence for the development we have seen through the ages. The various fields of Mathematics can be categorized as quantity, space, change, structure and foundations and philosophy.
To do mathematics is to explore concepts and formulate new conjectures and establish there validity by rigorous deduction from agreed upon axioms and definition.

9 Pages(2250 words)Essay

Topic One: Introduction, and Platos CaveOn the other hand, the topic itself is a metaphor. For instance, the word cave means concealment. Therefore, it would go to show that Plato is dealing with concealment of some kind regarding the

2 Pages(500 words)Essay

GeometryFrom this we get that = |AB|/4. Implying that the line . Can be obtained by dividing the line AB into 4 equal parts.
The line |AB| is 3x. let the right angle triangle be 3:4:5. The new line is given as . If we let 4 = |AB|, and 3 to be equal to the new

1 Pages(250 words)Speech or Presentation

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