Determinants #!#Use of Factor Theorem To Solve Determinants

Determinant: General form || Solving 3rd order determinant || COFactor & Minor || Properties OF Determinant

If the value of a third order determinant is 12, then find the value of the determinant formed by replacing each element by its co-factor

Without expanding the determinant,show that (a+b+c) is a factor of the determinant det[[a,b,cb,c,ac,a,b]]

Without expanding the determinant, show that (a+b+c) is a factor of the determinant |a b c b c a c a b| .

Determine all prime factors of 138.

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

Factor theorem| Questions based on properties of determinant

Using the factor theorem it is found that a+b , b+c and c+a are three factors of the determinant |[-2a ,a+b, a+c],[ b+a,-2b,b+c],[c+a ,c+b,-2c]|. The other factor in the value of the determinant is

Determine prime factorization of 9000.

Determine prime factorization of 20570