ALGEBRA OF MATRICES
Addition and Subtraction of Matrices:
Any two matrices can be added if they are of the same order and the resulting matrix is of the same order. If two matrices A and B are of the same order, they are said to be conformable for addition.
Properties:
All the laws of ordinary algebra hold for the addition or subtraction of matrices and their multiplication by scalars.
(i). If A and B be two matrices of the same order and if k be a scalar, then
k(A + B) = kA + kB
(ii). If k1 and k2 are two scalars and if A is a matrix, then
(k1 + k2)A = k1A + k2A and k1(k2A) = k2(k1A)
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