In linear algebra, square matrix is a matrix which contains same number of rows and columns. For example matrices with dimensions of 2x2, 3x3, 4x4, 5x5 etc., are referred to as square matrix. We can add or multiply any two square matrices that are of the same order. Use this online calculator to find the square of a 2x2 or 3x3 matrices.
X11 = a11*a11 + a12*a21 + a13*a31, X12 = a11*a12 + a12*a22 + a13*a32, X13 = a11*a13 + a12*a23 + a13*a33, X21 = a21*a11 + a22*a21 + a23*a31, X22 = a21*a12 + a22*a22 + a23*a32, X23 = a21*a13 + a22*a23 + a23*a33, X31 = a31*a11 + a32*a21 + a33*a31, X32 = a31*a12 + a32*a22 + a33*a32, X33 = a31*a13 + a32*a23 + a33*a33.
Online calculation of square of matrices is made easier here.