Diagonalization
8:43
YouTubeProfessor Dave Explains
Diagonalization
Now that we know about eigenvalues and eigenvectors, we are ready to learn about diagonalization. This involves writing a matrix as a product of other matrices, one of which is a diagonal matrix, with values only along the main diagonal. This has many applications in computation, so let's take a look! Script by Howard Whittle Watch the whole ...
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Does the diagonal actually exist? 📐🤯 Imagine a perfectly square park, 100ft by 100ft. You need to get to the opposite corner. 🔹 Euclidean Math: Walk the diagonal = 141 ft. 🔹 Grid Rules: You can only move North or East. If you take the edge, it’s 200 ft. Too long. So you cut through the middle using stairs. 🪜 North, East, North, East. It looks shorter. So you shrink the stairs. You make them microscopic. You break the
Does the diagonal actually exist? 📐🤯 Imagine a perfectly square park, 100ft by 100ft. You need to get to the opposite corner. 🔹 Euclidean Math: Walk the diagonal = 141 ft. 🔹 Grid Rules: You can only move North or East. If you take the edge, it’s 200 ft. Too long. So you cut through the middle using stairs. 🪜 North, East, North, East. It looks shorter. So you shrink the stairs. You make them microscopic. You break the
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