Math Problem Statement
Find a general formula for the inverse of a 2 × 2 matrix A =
a b c d
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Matrix Inversion
Determinants
Formulas
A^{-1} = (1 / (ad - bc)) * [[d, -b], [-c, a]]
Theorems
Inverse Matrix Theorem: A square matrix has an inverse if and only if its determinant is non-zero.
Suitable Grade Level
Undergraduate (or advanced high school mathematics)