Matrices are a way of grouping numbers, and are organized into rows and columns. Matrices are often used as a way of representing several equations in an easier to organize format, however to solve these systems of equations we must be able to perform matrix operations such as multiplication.

Read MoreThe quadratic formula is a useful method of factoring second order polynomials. It is commonly used when solving for quantities such as eigenvalues in ordinary differential equations.

Read MoreIn order to use a linear graph to find the equations which describe a system, it first must be processed into a normal tree (also known as a system graph tree). The normal tree can be used to determine the order of a system, and to write a system of equations that describe the system.

Read MoreIn order to categorize a system it is important to identify its governing set of equations. While this can be completed according to kinematic/mass acceleration diagrams, it is also possible to formulate these equations according to linear graph theory. This is particularly useful for non-mechanical domains, and for systems.

Read MoreOne of the methods used to find the transfer function of a system is to use linear graphs. This graph can then be processed into a normal tree and can be used to determine the elemental and state equations needed to simplify the problem.

Read MoreAs with any problem, we must decide what lens/perspective we will look at the problem with. Will it be energy or kinematics? In this case both perspectives will work, although energy is more intuitive.

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