Press 2ND MATRIX (above x-1). Select EDIT at the top with the arrow keys. The select matrix [B] and press ENTER. You can now edit the matrix. (Use the numbers at the upper right to set the size.)
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It would be no different. Matrix addition is Abelian or commutative. Matrix mutiplication is not.
If, for an n*n matrix, A, there exists a matrix B such that AB = I, where I is the n*n identity matrix, then the matrix B is said to be the inverse of A. In that case, BA = I (in general, with matrices, AB ≠BA) I is an n*n matrix consisting of 1 on the principal diagonal and 0s elsewhere.
Hadamard product for a 3 × 3 matrix A with a 3 × 3 matrix B
You can only add a 3x3 matrix to another matrix of the same size. The reuslt is a 3x3 matrix where each element is the sum of the elements in the corresponding positions in the two summand matrices.Symbolically,if A = {aij} and B = {bij} then A + B = {aij + bij}where i=1,2,3 and j = 1,2,3
If the product of two matrices is an identity matrix then, one matrix is inverse of the other. i.e. AB = I then, A = B-1 and B = A-1Inverse of matrix can be found by using these two results:A = AI and A = IA.By using these results inverse of a matrix can be found by applying same elementary row or column operation on both sides. A on R.H.S. remains as it is.