Question

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : For matrix A =\(\begin{bmatrix} 1 & 2 \\ 8 & 16 \end{bmatrix}\),rank of A = r(A) = 1
Reason R: For matrix A if |A| = 0, then it implies that rank of matrix A given by r(A) is less than full rank.
In the light of the above statements, choose the most appropriate answer from the options given below:

• A. Both A and R are correct and R is the correct explanation of A
• B. Both A and R are correct but R is NOT the correct explanation of A
• C. A is correct but R is not correct
• D. A is not correct but R is correct

Answer 1

The Correct Option is A

The correct option is(A): Both A and R are correct and R is the correct explanation of A