Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

Let \(A\) and \(B\) be two square matrices of the same order. Which of the following is not true regarding transpose of matrices.

Options:

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

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

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

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

Correct Answer:

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

Explanation:

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