Mathematics
A, B and C are square matrices of order 2 such that AB = C.
Assertion (A): BA = C
Reason (R): Matrix multiplication is not always commutative.
- Assertion (A) is true, but Reason (R) is false. 
- Assertion (A) is false, but Reason (R) is true. 
- Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A). 
- Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A). 
Matrices
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Answer
Given, A, B and C are square matrices of order 2 such that AB = C.
Matrix multiplication is not always commutative.
So, reason (R) is true.
⇒ AB ≠ BA
So, BA is not necessarily equal to C.
So, assertion (A) is false.
Thus, Assertion (A) is false, but Reason (R) is true.
Hence, option 2 is the correct option.
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