Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

For matrices \(A\) and \(B\), which of the following is not true (Here \(A^{\prime}\) and \(B^{\prime}\) denotes the transpose)

Options:

\(\left(A^{\prime}\right)^{\prime}=A\)

\(\left(A+B\right)^{\prime}=A^{\prime}+B^{\prime}\)

\(\left(AB\right)^{\prime}=A^{\prime}B^{\prime}\)

\(\left(KA\right)^{\prime}=KA^{\prime}\) where \(K\) is any constant

Correct Answer:

\(\left(AB\right)^{\prime}=A^{\prime}B^{\prime}\)

Explanation:

Recall the properties of transpose of matrix