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Linear Transformations, Change of Basis and Conjugation

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Let V = Q3 and let ' be the linear transformation from V to itself:
'(x, y, z) = (9x + 4y + 5z,−4x − 3z,−6x − 4y − 2z), x, y, z E Q
With respect to the standard basis B find the matrix representing this linear transformation.
Take the basis E = {(2,−1,−2), (1, 0,−1), (3,−2,−2)} = {ei} for V and find the matrix representing ' with respect to this basis, i.e. MEE ('). Find the matrix P that conjugates... into ...

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Linear Transformations, Change of Basis and Conjugation are investigated. The solution is detailed and well presented.

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Creation myths and theories are presented.

Provide help with summarizing and applying theories of myth to selected creation myths. Myth & Knowing discusses a variety of theoretical approaches scholars use to better understand mythology. Select three of those theories and summarize them in your own words. Then, compare two creation myths using the theories you summarized to explain how each creation myth functions in the culture in which it is a part. Conclude by reflecting on these theories to help explain the cultural function of myths in general:

Mythology will forever expand in studies during the length of a lifetime. Myths have a sense of truth that is questioned by many. Family legends, history, religion, culture, and arts are realities that uphold mythâ??s and the explanation behind it. â??Like an onion, a myth has many layersâ? (Leonard & McClure, 2004, p. 28) which explains the various stories of symbolism, religious allegories, and beliefs which can possibly be narrowed down to the closest truth of that time. There are varied theories of myth current applied to study a particular myth or story. Scholars use theories to better understand myths. Plato, Euhemeros and Euhemerism, and Adalbert Kuhn are scholars whose theories are discussed through a personal view and compared by two creation myths Out of the Blue and The Popul Vu.

Platoâ??s Rational Myth created a new path for the Greek word mytho by confirming the synonym as false (( Leonard & McClure, 2004, p. 4). Plato validated mythâ??s as â??a form of truthâ? that were philosophical about origins myths, but claimed myths created by people which spoke of Gods and Heroes were false myths (( Leonard & McClure, 2004, p.4). In another sense Plato believed that various stories that do not serve justification or were truth cannot be found are false myths. Concrete locations and origins lead to truth for Plato.

Euhemeros and Euhemerism was firm on science belief versus explanations of history and imagination. Euhemerism did not acknowledge the truth-value for all myths and still questioned exaggeration to previous historic events. â??Euhemeros believed that myths were not true per se but that they contained the kernels of historical truthâ? ( Leonard & McClure, 2004, p.5).

Adalbert Kuhn was influenced by Friedrich Wilhelm Nietzsche which allowed him to view various myths as allegories. Kuhnâ??s approach allowed him to see different views of myths compared to the elements of the earth. As an example â??particularly the rainstorm that bestows fire in the form of lightning and the life-giving elixir of rain which makes all life possibleâ?¦ the stolen gift was fire; sometimes it was the elixir of immortalityâ? (Leonard & McClure, 2004, p. 12).

Leonard, S., & McClure, M. (2004). Myth & knowing: An introduction to world mythology. New York: McGraw-Hill.

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