Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

Determinant is unaltered if :

Options:

Elements of any two rows are interchanged

Elements of any two columns are interchanged

Every diagonal element is changed to zero

All the rows and columns are interchanged

Correct Answer:

All the rows and columns are interchanged

Explanation:

I → elements of two rows are interchanged → determinant becomes negative

II → elements of two columns are interchanged → determinant becomes negative

III → every diagonal element is changed to zero → value of determinant charges

IV → all rows and columns interchanged → althrough sign of determinant change multiple times but overall it remains uncharged