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 ...
視聴回数: 74.4万 回2019年7月24日
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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
TikTok3 週間前
yuca kobayashi on Instagram: "［Japanese sake shop］ 🇯🇵日本の美しいラッピング🇯🇵 " Diagonal wrapping " 🎁🎁🎁 Highly recommended for the gift ➡️ Junmai sake for 2026🍶 Each shop has wrapping design and ribbon coordination in Japan🇯🇵🎁 - lmpressive Japanese wrapping skill at my favorite long-established shop with its main store in Kanazawa, in Tokyo🎁🇯🇵 #yucwatokyowrapping #japanwrappingstyle #japanesehospitality #omotenashi In Japan, giving a gift means much more than simply offering an object. It is
yuca kobayashi on Instagram: "［Japanese sake shop］ 🇯🇵日本の美しいラッピング🇯🇵 " Diagonal wrapping " 🎁🎁🎁 Highly recommended for the gift ➡️ Junmai sake for 2026🍶 Each shop has wrapping design and ribbon coordination in Japan🇯🇵🎁 - lmpressive Japanese wrapping skill at my favorite long-established shop with its main store in Kanazawa, in Tokyo🎁🇯🇵 #yucwatokyowrapping #japanwrappingstyle #japanesehospitality #omotenashi In Japan, giving a gift means much more than simply offering an object. It is
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Mohammed Junais T on Instagram: "@onflow_architecture #architecture The diagonal slatted screen is not treated as a decorative layer, but as a climatic filter. It softens harsh sunlight, allows continuous air movement, and creates a sense of privacy without complete enclosure. The diagonal rhythm breaks the scale of the tall arched opening, introducing movement, depth, and human proportion. Light and shadow become part of the spatial experience, allowing the architecture to breathe and respond t
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Mohammed Junais T on Instagram: "@onflow_architecture #architecture The diagonal slatted screen is not treated as a decorative layer, but as a climatic filter. It softens harsh sunlight, allows continuous air movement, and creates a sense of privacy without complete enclosure. The diagonal rhythm breaks the scale of the tall arched opening, introducing movement, depth, and human proportion. Light and shadow become part of the spatial experience, allowing the architecture to breathe and respond t
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