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He's a great teacher but I prefer to see linear algebra from the point of view of linear maps/operators/transformations and matrices as their representations. H
by mishurov 8y ago
He's a great teacher but I prefer to see linear algebra from the point of view of linear maps/operators/transformations and matrices as their representations. His approach goes rather from matrix arithmetic as far as I know.
- copperx 8y agoIs there an online course that covers linear algebra in that way?
- random_moonwalk 8y agoNot an online course, but Linear Algebra by Serge Lang is nice little book that is in this spirit (good to look at if you’re familiar with LA basics).
- miketery 8y ago3blue1brown has great linear algebra videos that take it from the transformations point of view.
- losvedir 8y agoGil Strang taught 18.06, the more calculation-focused and elementary version of linear algebra, when I was at MIT. The approach mentioned by the OP was what was taken in the more theoretical version, 18.701. I think that class has notes and lectures on OCW.
- deleted 8y ago[deleted]
- civility 8y agoTo each their own, but I think there is value in seeing them multiple ways. The rows can be looked at as a system of equations. The columns can be vectors to be combined. The matrix as a whole can represent the covariance of a Kalman filter or describing a confidence ellipsoid. They can be an adjacency matrix describing the edges of a graph. They can be your entire data set, and so on. Some of these uses feel more like operands than operators.