**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 k_{1} and k_{2} are two scalars and if A is a matrix, then

(k_{1} + k_{2})A = k_{1}A + k_{2}A and k_{1}(k_{2}A) = k_{2}(k_{1}A)

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