question_answer

Assertion [A]:Transpose of the matrix \[A=\left[ 2\,\,5\,\,-1 \right]\], is column matrix.

Reason [R]: Transpose of a matrix of order \[m\times n\] is a matrix of same order.

 

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: C

Solution :

Given \[A={{\left[ 2\,\,\,5\,\,-1 \right]}_{1\times 3}}\] , which is column matrix \[\therefore \]Given Assertion [A] is true We know that transpose of matrix of order \[m\times n\]is of order \[n\times m\] \[\therefore \]Given Reason (R) is false Hence option [C] is the correct answer.