Determinants and linear equations

Determinants and linear equations

Category. determinants

1. Two-row determinant

3. determinant sets:

I. The value of a determinant does not change, if

a) the rows are swapped with the columns,

b) adds the elements of one series multiplied by the same factor to the corresponding elements of a parallel other series.

II. A determinant changes its sign, if you interchange two parallel rows.

III. A determinant has the value zero, if

a) all elements of a series are zero,

b) two parallel rows are equal or proportional.

IV. A determinant is multiplied by a factor, by multiplying all elements of a series by this factor.

 

B. Two equations with two variables x1 , x2