Math Problem Statement

methods to find inverse of a matrix

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Matrix Inversion
Determinants
Row Operations
LU Decomposition
Singular Value Decomposition (SVD)

Formulas

A^{-1} = (1/det(A)) * adj(A)
A = U Σ V^T, A^{-1} = V Σ^{-1} U^T

Theorems

Inverse of a matrix
Adjoint method
Gauss-Jordan elimination
LU decomposition
Singular value decomposition

Suitable Grade Level

Grades 11-12, College Level