Question

Which of the following is not a property of determinant?

(a) The value of determinant changes if all of its rows and columns are interchanged

(b) The value of determinant changes if any two rows or columns are interchanged

(c) The value of determinant is zero if any two rows and columns are identical

(d) The value of determinant gets multiplied by k, if each element of row or column is multiplied by k

The question was posed to me during a job interview.

Asked question is from Properties of Determinants topic in chapter Determinants of Mathematics – Class 12

Answer 1

Right answer is (a) The value of determinant changes if all of its rows and columns are interchanged

For explanation I would say: The value of determinant remains unchanged if all of its rows and columns are interchanged i.e. |A|=|A’|, where A is a square matrix and A’ is the transpose of the matrix A.