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 ...
738.4K viewsJul 24, 2019
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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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Did you know that if you draw diagonal lines with a white crayon first before using markers, sketch a few circles, then outline everything with a thick black liner and divide into smaller shapes, you can turn any window into textured space stained glass?🌎 What I Used: Ohuhu Markers, White Gel Pen, Fineliner Black Ink Pen, White Crayola Crayon P.S. Black liner can pick up some wax from the crayon, but it’s good as new once you draw a few lines on a separate paper. Same goes with your markers if
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Did you know that if you draw diagonal lines with a white crayon first before using markers, sketch a few circles, then outline everything with a thick black liner and divide into smaller shapes, you can turn any window into textured space stained glass?🌎 What I Used: Ohuhu Markers, White Gel Pen, Fineliner Black Ink Pen, White Crayola Crayon P.S. Black liner can pick up some wax from the crayon, but it’s good as new once you draw a few lines on a separate paper. Same goes with your markers if
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