Mathematics · essential
Inverse identities for JEE
Adjoint and inverse of a square matrix
Formula
\(AA^{-1}=A^{-1}A=I\), \((A^{-1})^{-1}=A\), \((AB)^{-1}=B^{-1}A^{-1}\).
Variables: \(A,B\): invertible square matrices.
Conditions: Required inverses must exist.
Simplifying matrix equations, product inverses.