Learn what an identity matrix is and about its role in matrix multiplication. An identity matrix is a square matrix with ones on the main diagonal and zeros elsewhere. It has unique properties in linear algebra, such as being the multiplicative identity of the matrix ring and the identity function of a vector space. An identity matrix is a square matrix in which all the elements along the main diagonal are 1, and all other elements are 0. It is often denoted by I or In (where n is the matrix order). You’ll find this concept applied in areas such as matrix multiplication, matrix inversion, and solving equations using matrices in maths and computer science. Identity Matrix is the matrix which is n × n square matrix where the diagonal consist of ones and the other elements are all zeros. It is also called as a Unit Matrix or Elementary matrix .
