Question

what are the properties of determinant

Answer 1

(1.) A multiple of one row of "A" is added to another row to produce a matrix, "B", then:.

                                                        

(2.) If two rows are interchanged to produce a matrix, "B", then:.

 

(3.) If one row is multiplied by "k" to produce a matrix, "B", then: .

 

(4.) If "A" and "B" are both n x n matrices then: .

 

(5.).

Answer 2

Answer:

Properties of determinants:-)

1》Value of a determinant remain unchanged if we

remain unchanged if weinterchange its rows and columns.

2》Sign of determinant change if we interchange any two rows or columns of that determinant.

3》Value of a determinant is zero

if its any two row or columns are identical.

4》If every element of a row or column is multiplied by a non zero scalar k,then value of determinant become k times .

5》lf every element of a row or column in determinant is given as sum of two or more elements, then this one determinant is equals to the sum of two or more determinants.