Some properties of Addition and Subtraction of Matrices

Ask a Question, Get an Answer!

Type your question here

Hundreds of tutors are online and ready to help you right now!

(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.