Web Reference: Abstract We define linear equations, both homogeneous and inhomogeneous, and describe what is certainly the oldest problem in linear algebra: finding the solutions of a system of linear equations. These methods are specific tools showing how linear systems theory is used in en-gineering. The purpose of this course is to take a deeper look at how linear system theory is used in the modeling of dynamical systems found in many engineering disciplines. Linear combinations can fill all of space, or only a plane. We need a picture to show the crucial difference between u, v, w (the first example) and u, v, w∗ (all in the same plane).
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