Addition of Matrices

Addition of Matrices

Let A and B be two matrices of the same order m × n. Then their sum is defined to be the matrix of order m × n obtained by adding the corresponding elements of A and B.

e.g. If A = and B = then A + B = .

Two matrices A = [a_ij] and B = [b_ij] are said to be equal if

(i)  they are of the same order

(ii) the elements in the corresponding places of the two matrices are the same i.e. aij = bij for each pair of subscripts of i and j. If two matrices A and B are equal, we write A = B.