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.You need to login to perform this action.
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