ECOR 2606 Lecture Notes - Bungee Cord, De Havilland Mosquito, Invertible Matrix
28 Sep 2014
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Problem (chapra 2nd ed p193, 3rd ed p209): three bungee jumpers are connected as shown in the diagram. The three bungee cord segments have spring constants k1, k2, and k3. The three jumpers have masses m1, m2, and m3. The forces acting on each jumper must add up to zero. These equations can be expressed in matrix format: One way of solving an equation of the form ax=b is to premultiply both sides by a-1 : Ways of obtaining the inverse of a square matrix in matlab: Very important note: this is not a very good way of solving systems of equations. Normal right division can be thought of as post-multiplying by the inverse: x/ y is equivalent to x * y-1. Left division is logically equivalent to pre-multiplying by the inverse: y\x is equivalent to y-1 * x. In both cases the quantity under the slash is the divisor.
