Identify the correct statement from the following
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3rd option is correct
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The matrix is the arrangement of numbers in form of rows and columns .
There are various laws of its addition , subtraction and multiplication .
Suppose there are three matrix A , B and C , the laws of matrices are given as follows :
- Commutative Law of Addition
- A+B = B+A
- Associative law of addition
A+B+C = A +(B+C) = (A+B)+C
- Associative law of multiplication
- ABC = A(BC) = (AB)C
- Distributive law of matrix algebra
A(B+C) = AB + AC
R(A+B) = RA + RB
Therefore the correct answer is c ) matrix multiplication is both associative and commutative .
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