Mathematics
For two matrices A and B both of the same order, which of the following is always true :
(A + B)2 = A2 + 2AB + B2
(A - B)2 = A2 - 2AB + B2
A × B = B × A
A × (B + A) = A × B + A2
Matrices
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Answer
The Distributive Property of Matrices states that:
A(B + C) = AB + AC
where order of A is m x n and order of B and C is n x r.
∴ A x (B + A) = A x B + A2
Hence, Option 4 is the correct option.
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