( + ) In category : for boys ( + ), for girls ( + ) This can be represented in the matrix form as This new matrix is the sum of the above two matrices. We observe that the sum of two matrices is a matrix obtained by adding the corresponding elements of the given matrices. Furthermore, the two matrices have to be of the same order. Thus, if is a × matrix and is another × matrix.
Then, we define A + B In general, if A = [ a ij ] and B = [ b ij ] are two matrices of the same order, say m × n . Then, the sum of the two matrices A and B is defined as a matrix C = [ c ij ] m × n , where c ij = a ij + b ij , for all possible values of i and j . Example Given , find A + B Since A, B are of the same order × . Therefore, addition of A and B is defined and is given by A+B