If two rows (or column) are identical or Proportional the value of the determinant is

Two rows(or columns) are identical or proportional the value of the determinant is

If any two rows (or columns) of a determinant are identical, the value of the determinant is zero.

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

If any two adjacent rows or columns of a determinant are intercharged in position, the value of the determinant :

If any two adjacent rows or columns of a determinant are interchanged in position, the value of the determinant

[" 2.If expanding the determinant along any row or column the value of determinant is "],[[" (a) Increasing "," (b) Decreasing "," (c) Remains unchanged "," (d) Both "(a)&(b)]]

The element in the i^(th) row and the j^(th) column of a determinant of third order is equal to 2(i+j) . What is the value of the determinant?

If each element in a row of a determinant is multiplied by the same factor r, then the value of the determinant

If any two rows/columns of a square matrix A of order n(>2) are identical; then its determinant is 0.

Row matrix and column matrix