Lecture 17: Gain Of A Matrix In A Direction

author: Stephen P. Boyd, Department of Electrical Engineering, Stanford University
published: May 31, 2010,   recorded: September 2007,   views: 2588
released under terms of: Creative Commons Attribution Non-Commercial (CC-BY-NC)

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Now there are cases when it doesn’t vary with direction. You’ve seen one. One is when A is orthogonal. So if A is square and its columns are orthonormal, then Y equals AX, the norm of Y is the norm of X, the gain is one in all directions. So watch, you’re going to get is the complete picture today, on that. ...

See the whole transcript at Introduction to Linear Dynamical Systems - Lecture 17

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