#Linearalgebra

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#Linearalgebra Reel by @integra.mathschool - When the linear algebra final exam is ONE question… but it's a 10x10 matrix and you have to show every Gauss-Jordan step 😭 No calculator. 6 hours. 1
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@integra.mathschool
When the linear algebra final exam is ONE question… but it’s a 10x10 matrix and you have to show every Gauss-Jordan step 😭 No calculator. 6 hours. 100 marks. Pain. If you’ve ever taken a college math exam, you know the feeling. 👉 Share this with a friend who hates matrices 👉 Save this for finals week 👉 Follow for daily math memes & STEM humor
#Linearalgebra Reel by @stewie.cs - Determinant in linear algebra #familyguy #computerscience #maths
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@stewie.cs
Determinant in linear algebra #familyguy #computerscience #maths
#Linearalgebra Reel by @mirkovicdev (verified account) - Follow me and comment "MATH" and I'll send you the full list. Most people think math is just equations and solving problems. Calculus. Linear algebr
362.0K
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@mirkovicdev
Follow me and comment “MATH” and I’ll send you the full list. Most people think math is just equations and solving problems. Calculus. Linear algebra. Maybe some statistics. But when you go deeper… it gets weird. I’m talking entirely new types of spaces being invented. Geometry that flows like heat over time. Even parts of math that are provably impossible to compute. These are real papers. Written by the best mathematicians in the world. This is what math actually looks like at the edge. Comment “MATH” and I’ll send you all of them.
#Linearalgebra Reel by @themathsmatriix - The Geometric Soul of Determinants 📐✨ Ever wondered what a determinant actually does? Most of us just learn the "cross-multiply and subtract" formula
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@themathsmatriix
The Geometric Soul of Determinants 📐✨ Ever wondered what a determinant actually does? Most of us just learn the "cross-multiply and subtract" formula, but the true magic happens in space! 🌌 In this 3D visualization, we see the transformation of the Identity Matrix (where the determinant is 1 and forms a perfect unit cube) into a more complex matrix. What’s happening here? The determinant of a 3 \times 3 matrix represents the volume scale factor of the transformation. When the determinant is 1, the volume of the transformed unit cube remains 1 cubic unit (1u^3). When we change the values to get a determinant of 3, you can see the space "stretch" and "shear," resulting in a parallelopiped that is exactly 3 times the volume of the original cube. Mathematics isn't just numbers on a page; it’s the language of shape and scale. 💡#️⃣ Viral Hashtags #Math #LinearAlgebra #DataScience #STEM Animation 3DGeometry Coding MachineLearning MathTutorial EducationalReels VisualLearning CollegeMath EngineerLife Manim
#Linearalgebra Reel by @lacie.thinks - this is gaussian elimination. like idk it just easily makes sense by graphing it. i'd rather see the visualization before the computations. #math #lin
3.6M
LA
@lacie.thinks
this is gaussian elimination. like idk it just easily makes sense by graphing it. i’d rather see the visualization before the computations. #math #linearalgebra
#Linearalgebra Reel by @mathswithmuza - Fourier series are one of the most powerful tools in mathematics and applied science, used to represent complex periodic functions as an infinite sum
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@mathswithmuza
Fourier series are one of the most powerful tools in mathematics and applied science, used to represent complex periodic functions as an infinite sum of simple sine and cosine waves. At its core, a Fourier series decomposes a signal into its fundamental frequency and higher harmonics, making it essential in signal processing, electrical engineering, physics, and applied mathematics. Whether analyzing sound waves, heat transfer, vibrations, or electromagnetic signals, Fourier series provide a precise way to understand how complex patterns arise from simple oscillations. This concept is foundational in topics like frequency analysis, waveform decomposition, harmonic motion, and spectral analysis, and it plays a crucial role in modern technologies such as audio compression, image processing, and data transmission. Beyond engineering, Fourier series are deeply connected to differential equations, especially partial differential equations like the heat equation and wave equation. They allow mathematicians and scientists to solve boundary value problems by transforming difficult equations into manageable algebraic forms. In pure mathematics, Fourier series connect analysis, linear algebra, and complex numbers, revealing deep structure in periodic phenomena. From modeling ocean tides and climate cycles to understanding quantum mechanics and electrical circuits, Fourier series remain a cornerstone of mathematical modeling. Their ability to bridge theory and real-world applications makes them indispensable in STEM fields, computational science, and modern data-driven research. Like this video and follow @mathswithmuza for more! #math #fourier #animated #physics #foryou
#Linearalgebra Reel by @mathandcobb - Preview of an upcoming video with a new style! 😄 Stay tuned! #math #linearalgebra #diagonalization
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MA
@mathandcobb
Preview of an upcoming video with a new style! 😄 Stay tuned! #math #linearalgebra #diagonalization
#Linearalgebra Reel by @stewie.cs - The nullspace in linear algebra #familyguy #computerscience #maths
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@stewie.cs
The nullspace in linear algebra #familyguy #computerscience #maths
#Linearalgebra Reel by @quantumquesterr - Stop Memorizing Formulas-Start Seeing Them! 🧠✨ Ever wondered what a Determinant actually does? Most textbooks just give you a messy formula of cross-
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@quantumquesterr
Stop Memorizing Formulas—Start Seeing Them! 🧠✨ Ever wondered what a Determinant actually does? Most textbooks just give you a messy formula of cross-multiplications, but the truth is much more satisfying. In this video, we visualize the determinant of a 3 \times 3 matrix as the volume of a parallelepiped spanned by its column vectors. The Identity Matrix: We start with the unit vectors (1,0,0), (0,1,0), and (0,0,1). They form a perfect cube with a volume of 1. Hence, \det(I) = 1. The Transformation: As we change the values in the matrix, the space stretches and shears. The new volume of that "squished" cube is exactly what the determinant calculates! Linear Algebra isn't just numbers in a bracket—it's the geometry of transformation. Want more math visualizations? Drop a "MATH" in the comments! 👇#️⃣ Viral Hashtags #LinearAlgebra #MathVisualized #StemTok #EngineeringStudent Calculus Mathematics DataScience CodingLife Geometry StudyTips MathIsBeautiful Determinant 3DAnimation
#Linearalgebra Reel by @math.idea.ec - 📊🔷 Determinantes por Cofactores: Expansión Sistemática para Matrices de Cualquier Tamaño 🧮 Un método recursivo que descompone un determinante en su
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@math.idea.ec
📊🔷 Determinantes por Cofactores: Expansión Sistemática para Matrices de Cualquier Tamaño 🧮 Un método recursivo que descompone un determinante en suma de menores complementarios. Este contenido visual explica el método de expansión por cofactores (o desarrollo de Laplace), una técnica fundamental para calcular determinantes en matrices cuadradas de orden n, especialmente útil para matrices grandes o con muchos ceros. --- ▶️ Concepto base: El determinante de una matriz cuadrada A de tamaño n×n puede expresarse como una suma ponderada de los determinantes de sus submatrices (menores). Para una fila i cualquiera: det(A) = Σ (-1)ⁱ⁺ʲ · aᵢⱼ · Mᵢⱼ donde: · aᵢⱼ es el elemento en fila i, columna j · Mᵢⱼ es el menor complementario (determinante de la matriz que resulta de eliminar fila i y columna j) · (-1)ⁱ⁺ʲ es el signo del cofactor --- 🔍 El cofactor Cᵢⱼ se define como: Cᵢⱼ = (-1)ⁱ⁺ʲ · Mᵢⱼ Por tanto: det(A) = Σ aᵢⱼ · Cᵢⱼ --- 📌 Proceso paso a paso: 1. Elegir una fila o columna (idealmente la que tenga más ceros para simplificar). 2. Para cada elemento de esa fila/columna: · Calcular su menor complementario. · Aplicar el signo correspondiente según su posición. · Multiplicar el elemento por su cofactor. 3. Sumar todos los términos obtenidos. --- 📊 Ejemplo para matriz 3×3: | a b c | | d e f | | g h i | Expandiendo por primera fila: det = a·(e·i - f·h) - b·(d·i - f·g) + c·(d·h - e·g) --- ⚙️ Aplicaciones prácticas: ➡️ Cálculo de determinantes a mano: Método sistemático para matrices de orden 3 o superior. ➡️ Matrices con estructura dispersa: Aprovechar ceros para reducir operaciones. ➡️ Base teórica: Fundamental para entender la inversa de matrices y la regla de Cramer. ➡️ Implementación recursiva: Usado en algoritmos simbólicos y enseñanza del álgebra lineal. --- ⚠️ Consideraciones: · Para matrices grandes, este método es computacionalmente costoso (O(n!)). En la práctica se usan métodos como eliminación gaussiana. · La elección estratégica de la fila/columna de expansión reduce drásticamente los cálculos. --- #mathematics #maths #linearalgebra #fypシ❤️💞❤️ #mathidea
#Linearalgebra Reel by @mae.academy - What is a determinant actually telling you? 🧮✨ In Linear Algebra, we often get stuck memorizing formulas without understanding what they physically m
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@mae.academy
What is a determinant actually telling you? 🧮✨ In Linear Algebra, we often get stuck memorizing formulas without understanding what they physically mean. So let’s break it down visually! Think of a matrix as a set of mathematical instructions that stretches, squishes, and rotates a grid. If you take a standard 1x1 square on that grid, the Determinant is simply the new area of that square after the transformation! 🟥 Here is the breakdown: ✖️ The Math: For a standard 2x2 matrix with values [a, b] on top and [c, d] on the bottom, calculating it is just cross-multiplying the diagonals and subtracting: Determinant = (a * d) - (b * c) 🔍 What if it is negative? That means the space was flipped completely inside out! The area scaled by that amount, but the orientation is reversed, like looking in a mirror. 🛑 What if it equals ZERO? This is the danger zone! ⚠️ A determinant of zero means your 2D space just collapsed into a flat 1D line or a single point. You lost information! Because of this absolute collapse, a matrix with a determinant of zero has no inverse. Whether you are solving complex systems of equations, finding eigenvalues, or building 3D engineering models, understanding this hidden scaling factor is the key to mastering Linear Algebra. Did Linear Algebra ever make you want to pull your hair out? Let’s hear your matrix horror stories in the comments! 👇 #LinearAlgebra #EngineeringMath #Determinant #Mathematics #EngineeringStudent
#Linearalgebra Reel by @juiceditup - When you realize AI is just Linear Algebra @mackharrisonn - - #university #college #engineering #collegeadvice
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@juiceditup
When you realize AI is just Linear Algebra @mackharrisonn - - #university #college #engineering #collegeadvice

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