Matrices


   
 
Some properties of Addition and Subtraction of Matrices
(1) A + B = B + A (Commutative property)
 
(2) k(A + B) = kA + kB (Distributive property)
 
(3) (A + B) + C = A + B + C (Distributive property)
 
(4) (A + B) + C = A + (B + C) (Associative property)
 
A + O = O + A = A where O is zero or null matrix.
 
A = A + O
 
(5) A + (-A) = O (-A is additive inverse of A)
 
Zero matrix possesses identity property of addition.
 
(6) If A + B = C then B = C - A
 
 
If , then find 2A + 3B - 4C.
 
 
2A + 3B - 4C =
 
 
 
 
If , find a, b, c.
 
 
 
 
3a = 21 a = 7
 
2b = 8 b = 4
 
7c = -28 c = -4.
 
Ans: a = 7, b = 4, c = -4.
 
 
     
   
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