තුළත් කිරීම බහුල වශයෙන් භාවිත කරනුයේ ai,j ලෙසිනි. A[i,j] හෝ Ai,j යනු මේ සඳහා භාවිතා කරනු ලබන වෙනත් සංකේත වේ.Sometimes a matrix is referred to by giving a formula for its (i,j)th entry, often with double parenthesis around the formula for the entry, for example, if the (i,j)th entry of A were given by aij, A would be denoted ((aij)).An asterisk is commonly used to refer to whole rows or columns in a matrix. For example, ai,∗ refers to the ith row of A, and a∗,j refers to the jth column of A. The set of all m-by-n matrices is denoted M{\displaystyle \mathbb {M} }(m, n).A common shorthand isA = [ai,j]i = 1,...,m; j = 1,...,n or more briefly A = [ai,j]m×nto define an m × n matrix A. Usually the entries ai,j are defined separately for all integers 1 ≤ i ≤ m and 1 ≤ j ≤ n. They can however sometimes be given by one formula; for example the 3-by-4 matrixA=[0−1−2−310−1−2210−1]{\displaystyle \mathbf {A} ={\begi