Prove that the value of the determine remains unchanged if its rows and columns are interchanged.

Consider the following statements : (a) If any two rows or columns of a determinant are identical, then the value of the determinant is zero (b) If the corresponding rows and columns of a determinant are interchanged, then the value of the determinant does not change. (c) If any two rows or columns of a determinant are interchanged, then the value of the determinant changes in sign. Which of these are correct ?

Consider the following statements : (i) If any two rows or columns of a determinant are identical, then the value of the determinant is zero. (ii) If the corresponding rows and columns of a determinant are interchanged, then the value of the determinant does not change. (iii) If any two rows ( or columns) of a determinant are interchanged , then the value of the determinant changes in sign. Which of these are correct ?

If the value of a third order determinant is 16, then the value of the determinant formed by replacing each of its elements by its cofactor is

If the value of a third order determinant is 16, then the value of the determinant formed by replacing each of its elements by its cofactor is

Density of a crystal remains unchanged as a result of

A constant force acting on a body of mass 3.0 kg changes its speed from 2.0 m s^(-1) to 3.5 m s^(-1) in 25 s. The direction of the motion of the body remains unchanged. What is the magnitude and direction of the force ?

Which of the following remains unchanged in reversible competitive inhibition?