Addition or break of determinant if 2 rows are same(summation problem)

Differentiation of determinant | Summation of determinants

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

minors || cOFactor || properties OF determinant ||summation properties

Multiply the following determinants and obtain four different determinants by multiplying row to row, to column , column to row and column to column |{:(3,4),(1,2):}|xx|{:(6,2),(3,1):}|

Let A be a square matrix such that each element of a row/column of A is expressed as the sum of two or more terms.Then; the determinant of A can be expressed as the sum of the determinants of two or more matrices of the same order.

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

Find the number of plants in each row if 1024 plants are arranged so that number of plants in a row is the same as the number of rows.

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?

[" 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)]]