If each element of a row is expressed as sum of two elements then verify for a third order determinant that the determinant can be expressed as sum of two determinants.

If any two rows (or columns) of a determinant are identical then the value of the determinants is 0.

If any two rows (or columns) of a determinant are interchanged then the sign of a determinant changes.

If each element of a second order determinant is either zero or one, what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability (1)/(2) )

Name the elements that determine the weather of a place.

If each element of a 3xx3 matrix A is multiplied by 3 , then the determinant of the newly formed matrix 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

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 each element of a row (or a column) of a determinant is multiplied by a constant k then its value gets multiplied by k.

Represent cross product of two vectors in determinant form.