Math Problem Statement

Find the inverse of the matrix A= [2 1]

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Matrix Inversion
Square Matrices
Determinants

Formulas

Inverse of a 2x2 matrix: A^{-1} = (1 / (ad - bc)) * [[d, -b], [-c, a]]

Theorems

Invertibility of Matrices
Determinant and Non-singularity Theorem

Suitable Grade Level

Grades 10-12