question_answer

Directions: (1 - 14)

The following questions consist of two statements, one labelled as "Assertion [A] and the other labelled as Reason [R]". You are to examine these two statements carefully and decide if Assertion [A] and Reason [R] are individually true and if so, whether the Reason [R] is the correct explanation for the given Assertion [A]. Select your answer from following options.

Assertion [A]: Minor of element 6 in the matrix is 3.

Reason [R]: Minor of an element \[{{a}_{ij}}\] of a matrix is the determinant obtained by deleting its \[{{i}^{th}}\] row.

 

A) Both A and R are individually true and R is the correct explanation of A.

B) Both A and R are individually true and R is not the correct explanation of A.

C) 'A' is true but 'R' is false

D) 'A' is false but 'R' is true

E) Both A and R are false.

Correct Answer: E

Solution :

Minor of element \[\therefore \]Given Assertion [A] is false Also we know that minor of an element \[{{a}_{ij}}\] of a matrix is the determinant obtained by deleting its \[{{i}^{th}}\]row and \[{{j}^{th}}\]column. \[\therefore \]Given Reason (R) is also false \[\therefore \]Both Assertion [A] and Reason (R) are false Hence option [E] is the correct Answer.