Matrix Inversion Method || Matrix Inversion

Описание: Matrix inversion method is a mathematical technique used to find the inverse of a square matrix. In this method, we first augment the given matrix with an identity matrix of the same order, and then use elementary row operations to transform the augmented matrix into a row-reduced echelon form. The resulting matrix can be easily converted into the inverse of the original matrix.

This method is useful in a variety of applications, including solving systems of linear equations, finding determinants of matrices, and performing numerical simulations. In this video, we will walk through the steps of the matrix inversion method and provide examples to help you better understand this important mathematical tool.

Whether you're a student studying linear algebra or a researcher working with complex numerical data, understanding matrix inversion is a fundamental skill that can help you solve a wide range of mathematical problems. So sit back, grab a notebook, and let's dive into the world of matrix inversion!
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0:00 Intro
0:45 Calculate Determinant
8:18 calculate co factors
18:00 calculate Adjoint
18:48 inverse calculation
20:56 final solution
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Matrix inversion
Square matrix
Augmented matrix
Elementary row operations
Inverse matrix
Linear algebra
Determinants
Numerical simulations
Linear equations
Matrix operations
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