Math Problem Statement

(3 points) Find the inverse of the following matrix A. A =   1 2 2 1 1 2 2 4 3  

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Matrix Inversion
Determinants
Adjugate Matrix

Formulas

det(A) = a(ei - fh) - b(di - fg) + c(dh - eg)
A^{-1} = (1/det(A)) * adj(A)

Theorems

Invertibility Theorem (A matrix is invertible if its determinant is non-zero)

Suitable Grade Level

Undergraduate - Linear Algebra