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Learn what an identity matrix is, how to find it, and how to use it in matrix operations. An identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. An identity matrix , denoted as ( I_n ), is a square matrix in which all the diagonal elements are 1s, and all the other elements are 0s. The identity matrix is always a square matrix While we say “the identity matrix ”, we are often talking about “an” identity matrix . For any whole number \ (n\), there is a corresponding \ (n \times n\) identity matrix . These matrices are said to be square since there is always the same number of rows and columns. Learn what an identity matrix is and about its role in matrix multiplication.