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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A, B and C are square matrices of order 2 such that AB = C.
Assertion (A): Product BA need not be equal to C.
Reason (R): Matrix multiplication is not associative.
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).
If A =
Assertion (A): Product AB of the two matrices A and B is possible.
Reason (R): Number of columns of matrix A is equal to number of rows in matrix B.
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).