leaves a matrix unchanged: MIn = ImM = M for any m-by-n matrix M.Besides the ordinary matrix multiplication just described, there exist other less frequently used operations on matrices that can be considered forms of multiplication, such as the Hadamard product and the Kronecker product.[7] They arise in solving matrix equations such as the Sylvester equation.රේඛීය සමීකරණ[සංස්කරණය]ප්‍රධාන ලිපියන්: Linear equation  සහ System of linear equationsA particular case of matrix multiplication is tightly linked to linear equations: if x designates a column vector (i.e., n×1-matrix) of n variables x1, x2, ..., xn, and A is an m-by-n matrix, then the matrix equationAx = b,where b is some m×1-column vector, is equivalent to the system of linear equationsA1,1x1 + A1,2x2 + ... + A1,nxn = b1...Am,1x1 + Am,2x2 + ... + Am,nxn = bm .[8]This way, matrices can be used to compactly write and deal with multiple linear equations, i.e., systems of linear equations.රේඛීය පරිණාමණ[සංස්කරණය]ප්‍ර