Math Problem Statement
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Matrix Inversion
Linear Algebra
Formulas
Determinant of a 2x2 matrix det(A) = ad - bc
Inverse of a 2x2 matrix A = [[a, b], [c, d]] is A^-1 = (1/det(A)) * [[d, -b], [-c, a]]
Theorems
Matrix Inversion Theorem: A matrix is invertible if its determinant is non-zero.
Determinant Theorem: If det(A) = 0, the matrix A is singular and non-invertible.
Suitable Grade Level
Undergraduate Mathematics