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Linear Equations

If you are given a system of n or more equations involving n unknowns, we learned there are many different methods to solve the system such as - Elimination, Cramer, Expansion by Minors, and Augmented Matices.

Elimination is the process of "eliminating" each n unknown or variable. The process begins by picking one of the unknowns, or variable, then finding an equation in which it appears. Elimination works nicely when you have coefficients that are integers and three or less system of equations and unknowns, but as the number of equations and unknowns increases, and fractions come into play, Elimination can be cumbersome and the margin for error widen.

You will see in contrast to other methods, that when you have to multiply multiple equations by different constants to get matching coefficients, Elimination starts to seem like more problematic than it's worth and other methods such as Minors and Matrices have an advantage. This is particularly true as


Multiply the 2nd row by 1 and add -3 times row 1

In comparison, all of the methods are linear equations that can be used to solve a system of 2 or more equations with n unknowns in a fairly orderly manner.

2). Choose two methods in which to do the following:

Some topics in this essay:
Matrix Step, Expansion Minors, Augmented Matices, Matices Elimination, Step3 Add, Elimination Step, Minors Matrices, , expansion minors, 2w +, equations unknowns, = 13, = 11/24, Minors Augmented, Cramer Expansion, expansion minors augmented, 5z =, + 5z, 6w +, + 3z, = 10, minors augmented matices, 2w + 5z, cramer expansion minors, + 5z =,

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Approximate Word count = 653
Approximate Pages = 3 (250 words per page double spaced)


  

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