Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

let A be a skew-symmetric matrix, then \( { A }^{ 3 } \) will be

Options:

Symmetric Matrix

Skew- Symmetric Matrix

Null Matrix

None of these

Correct Answer:

Skew- Symmetric Matrix

Explanation:

\( { \left( { A }^{ 3 } \right) }^{ ' } = { \left( { A }^{ ' } \right) }^{ 3 } = { \left(-A\right) }^{ 3 } = - { A }^{ 3 } \)