Math Problem Statement

Find the inverse of the matrix A =

[211] [3 2 3][1 4 9]

using Gauss Jordan Method.

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Matrix Inversion
Gauss-Jordan Elimination

Formulas

Augmented matrix [A | I]
Row operations for matrix manipulation

Theorems

Invertibility Theorem: A matrix is invertible if and only if its determinant is non-zero
Gauss-Jordan Method: A systematic procedure for solving systems of linear equations and finding inverses of matrices

Suitable Grade Level

Undergraduate or Advanced High School (Grades 11-12)