Determinants Lecture 5

What positive value of x makes the following pair of determinants equal? |(2x,3),(5,x)|, |(16,3),(5,2)|

Using determinants, find the area of the triangle with vertices (-3, 5), (3, -6) and (7, 2).

Write the minor and cofactor of each element of the following determinants and also evaluate the determinant in each case: |[5,-10],[0,3]|

If every element of a third order determinant of value Detlta is multiplied by 5, then the value of new determinant, is

If .^nC_10= ^nC_12 , determine n and hence .^nC_5

Write the minor and cofactor of each element of the following determinants and also evaluate the determinant in each case: |[1,3,-2],[4,-5,6],[3,5,2]|

If each element of as third order determinant of value triangle is multiplied by 5 then value of the new determinant is (A) 125triangle B) 25triangle (C) 5triangle (D) triangle

If A=[(1, 2,3),(4, 5, 6)] and B=[(1, 4),(2, 5), (3, 6)] , then the determinant value of BA is

If D is determinant of order three of Delta is a determinant formed by the cofactors of determinant D: then

Determine whether the equation represent a circle or not : 5x^2 + 5y^2 + 2xy + 4x-y+2=0