.                         Has A Non-zero Solution, Then Value Of            

Let p be a non-singular matrix  (O denotes the null matrix), then p^–1 is ;

If D = diagonal [d₁, d₂, d₃, … d_n] where  thenD^–1 is equal to:

Let A be an orthogonal non-singular matrix of order n, then  is equal to :

‘A’ is any square matrix, then det  is equal to :

 represent the sides of a triangleABC, then  is equal to :

    :

If a, b, c are the sides of a ΔABC opposite to angle A, B, C respectively, then

                             :

The value of  lying between  and satisfying the equation  

        :

If a determinate of  is formed by using the number 1 or –1 then minimum value of determinant is :