Mathematics · JEE | DETERMINANTS

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).\n Assertion (A): The value of a determinant of order 3 remains the same whether it is expanded along its first row or along its first column.\n Reason (R): For any \( 3 \times 3 \) matrix, multiplying each element of a row by \( k \) multiplies the value of the determinant by \( k^3 \). \nIn the light of the above statements, choose the correct answer from the options given below:

1. A
   Both (A) and (R) are true and (R) is the correct explanation of (A).
2. B
   Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
3. C
   (A) is true but (R) is false.
4. D
   (A) is false but (R) is true.