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

State true or false. If in a third order determinant first row be changed to second column. Second row to 1st column and third row to third column, then the value of the determinant does not change.

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 the co-factor and minor of each element of a 2nd order determinant are same, then what is the value of the element in the 2nd row and 1st column of the determinant ?

IF the coafactor and minor of each element of a second order determinant are same, then what is the value of the element is the second row and first column of determinant.

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