Linear transformations and matrices | Essence of linear algebra, chapter 3
Matrices can be thought of as transforming space, and understanding how this work is crucial for understanding many other ideas that follow in linear algebra.
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Unfortunately, no one can be told, what the Matrix is. You have to see it for yourself. - Morpheus Surprisingly apt words on the importance of understanding matrix operations visually Hey everyone! If I had to choose just one topic that makes all of the others in linear algebra start to click and which too often goes unlearned the first time a student takes linear algebra, it would be this one: the idea of a linear transformation and its relation to matrices. For this video, I'm just going to focus on what these transformations look like in the case of two dimensions and how they relate to the idea of matrix-vector multiplication. In particular, I want to show you a way to think about matrix-vector multiplication that doesn't rely on memorization. To start, let's just parse t...
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Unfortunately, no one can be told, what the Matrix is. You have to see it for yourself. - Morpheus Surprisingly apt words on the importance of understanding matrix operations visually Hey everyone! If I had to choose just one topic that makes all of the others in linear algebra start to click and which too often goes unlearned the first time a student takes linear algebra, it would be this one: the idea of a linear transformation and its relation to matrices. For this video, I'm just going to focus on what these transformations look like in the case of two dimensions and how they relate to the idea of matrix-vector multiplication. In particular, I want to show you a way to think about matrix-vector multiplication that doesn't rely on memorization. To start, let's just parse t...
