Identity matrix property for JEE

Formula

For identity matrix \(I_n\), \(AI_n=I_mA=A\) whenever orders are compatible.

Variables: \(I_n\): identity matrix of order \(n\).

Conditions: If \(A\) is \(m\times n\), then \(AI_n\) and \(I_mA\) are defined.

Matrix equations, inverses, simplification.