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Question

Mathematics Question on Transpose of a Matrix

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : For matrix A =[12 816]\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

Both A and R are correct and R is the correct explanation of A

Explanation

Solution

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