MATH 240 Midterm: LinearAlgebra

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Branch of mathematics concerning vector spaces and linear mappings between such spaces. In this course, we will learn about three main topics: linear systems, vector spaces, and linear transformations as well as how to manipulate them. Suppose i have a bunch of apples and oranges. Let x be the number of apples i have, and y be the number of oranges i have. As everyone knows, apples and oranges don"t mix, so if i want to keep track of the number of apples and oranges i have, i should put them in a list. I should remember to always write the number of apples first and then the number of oranges - otherwise if i see the vector(1,2), i won"t know whether i have two apples or two oranges. We can also represent this problem as a linear system. There are 27 pieces of fruit in a barrel, and twice as many oranges as apples.