![]() One of the most important properties of the identity matrices is that the product of a square matrix \( A \) of dimension \( n \times n \) with the identity matrix \( I_n \) is equal to \( A \). These are examples of identity matrices of dimensions \( 1 \times 1 \), \( 2 \times 2 \), \( 3 \times 3 \), \( 4 \times 4 \). Identity matrices are presented along with their properties including examples and exercises and their detailed solutions.Īn identity matrix is a square matrix with all diagonal entries equal to \( 1 \) and all other entries equal to zero.
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