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What are the applications of linear algebra in real life?

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Multi-subject tutor for 6th-10th grade with BSc hons in physics.

Graphics and animation: 3D models, projections, and transformations use matrices from linear algebra for realistic visuals in movies, games, and even weather animations. Image and video processing: Compressing images for faster sharing, noise reduction in photos, and even facial recognition rely on...
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Graphics and animation: 3D models, projections, and transformations use matrices from linear algebra for realistic visuals in movies, games, and even weather animations.

Image and video processing: Compressing images for faster sharing, noise reduction in photos, and even facial recognition rely on linear algebra algorithms.

Data analysis and statistics: Regression models for predicting trends, analyzing financial markets, and understanding scientific data all involve solving linear systems using linear algebra.

Robotics and control systems: Robots use it for positioning, path planning, and even balancing themselves.

Machine learning and artificial intelligence: Many algorithms behind AI, like recommendation systems and image classification, depend heavily on linear algebra concepts.

Computer graphics: From 3D modeling to animation, linear algebra is crucial for manipulating and projecting objects in virtual spaces.

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Application 1: Constructing Curves and surfaces passing through Specified points Application 3: Trafic Flow Application 4: Electrical Circuits Application 5: Determinant Application 6: Genetics
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Linear equation is used in calculating the speed distance or time.
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Linear algebra finds applications in various real-life scenarios such as image processing, engineering (like designing electrical circuits), data analysis (in fields like finance and economics), and even in computer graphics for animation and gaming, where concepts like vectors, matrices, and transformations...
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Linear algebra finds applications in various real-life scenarios such as image processing, engineering (like designing electrical circuits), data analysis (in fields like finance and economics), and even in computer graphics for animation and gaming, where concepts like vectors, matrices, and transformations are extensively used for problem-solving and modeling real-world situations.

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The real-life applications of linear algebra are: For calculation of speed, distance, or time. Used for projecting a three-dimensional view into a two-dimensional plane, handled by linear maps. The linear regression model is used to predict data related to decision making, medical diagnosis, statistical...
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The real-life applications of linear algebra are:
  • For calculation of speed, distance, or time.
  • Used for projecting a three-dimensional view into a two-dimensional plane, handled by linear maps.
  • The linear regression model is used to predict data related to decision making, medical diagnosis, statistical inferences, etc.
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Suppose you go to your friend and ask him to loan his bike to you. He will calculate price (P) based on various factors such as fuel price (x), maintenance (y), and profit (z). He will keep a margin on every factor to calculate a reasonable price. This is algebra which finds relations through equations/inequalities.knowingly...
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Suppose you go to your friend and ask him to loan his bike to you. He will calculate price (P) based on various factors such as fuel price (x), maintenance (y), and profit (z). He will keep a margin on every factor to calculate a reasonable price. This is algebra which finds relations through equations/inequalities.
knowingly or unknowingly we use algebra in everyday life. 

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I'm a professor with more than 6 years of experiences.

These examples illustrate the pervasive and fundamental role of linear algebra in real-life applications. Its ability to represent and manipulate complex data structures, solve computational problems efficiently, and model real-world phenomena has made it an indispensable tool for a wide range of fields....
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These examples illustrate the pervasive and fundamental role of linear algebra in real-life applications. Its ability to represent and manipulate complex data structures, solve computational problems efficiently, and model real-world phenomena has made it an indispensable tool for a wide range of fields. As technology and scientific advancements continue, linear algebra will undoubtedly remain a crucial and evolving discipline. read less
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Related Questions

Why is there linear algebra but not nonlinear algebra?
Non-linear algebra is there, it is just called algebra. The most famous examples these days are machine learning algorithms.associating linearity simplifies the analysis by far. So we study this line of algebra separately.
Kadar
0 0
7
What is algebraic geometry?
Algebraic geometry is a branch of mathematics that studies the solution sets of polynomial equations. It uses tools from both algebra and geometry to study geometric objects, such as curves and surfaces, that can be defined by polynomial equations.
Franziska
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7
Which is best book for preparing algebra for JEE?
Vikas Gupta for Algebra (Yellow Book)
User
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Is geometry easier than algebra 1?
Yes this is easier than algebra.
Sarala
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8
Is college algebra hard compared to high school algebra?
It depends. College Algebra is said to be harder than algebra 1, but easier than algebra 2. Anything beyond the first college algebra class can differ.
Abhishek
0 0
7

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