Determinants Te...

The only integral root of the equation det.   is

If 1/a+1/b+ 1/c = 0 , then   

If A is a non singular matrix and A ’denotes the transpose of A , then

If the matrix AB = O , then

If A ,B andC be the three square matrices such that A = B + C , then Det A is equal to

Solution set of the equation  

A determinant is unaltered , if

If A and B are square matrices of order 3 , such that Det.A = –1 , Det.B = 3 then the determinant of 3AB is equal to

If 1 , ω,ω² are cube roots of unity , then    has value

Solution set of the equation  

The system AX = B of n equations in n unknowns has infinitely many solutions if

If A is a square matrix such that  A³  = I , then  A⁻¹  is equal to