Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:
If the matrix \(A\) is be the symmetric and skew-symmetric, then
Options:
\(A\) is diagonal matrix
\(A\) is a zero matrix
\(A\) is square matrix
None of these
Correct Answer:
\(A\) is a zero matrix
Explanation:
Consider a matrix \(A\) satisfying \(A^{\prime}=A\) and \(A^{\prime}=-A\) then \(A=-A\Rightarrow A=0\)