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Lecture 17: Gain Of A Matrix In A Direction

Lecture 17: Gain Of A Matrix In A Direction

This video was recorded at Stanford Engineering Everywhere EE263 - Introduction to Linear Dynamical Systems. 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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