Mathematics
Assertion (A) : A, B and C are three square matrices of order 2 × 2 such that AB = AC, it does not imply that B = C.
Reason (R) : Cancellation law is not applicable in matrix multiplication.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.
Matrices
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Answer
In general, if AB = AC, it does not necessarily imply that B = C. This is because cancellation law is not applicable in matrix multiplication, meaning we cannot always cancel out the matrix A from both sides of the equation.
∴ Assertion (A) and Reason (R) both are true.
Hence, Option 3 is the correct option.
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