Matrices and De...

If A any square matrix then which of the following is not symmetric ?

Let a, b, c, d, u, v be integers. If the system of equations, a x + b y = u, c x + dy = v, has a unique solution in integers, then

The system of equations, x + y + z = 1, 3 x + 6 y + z = 8, αx + 2 y + 3z = 1 has a unique solution for

If A and B are symmetric matrices of the same order, then

If  A = [a_ij ]_{2 ×2} where  a_ij = i  + j, then A is equal to

Each diagonal element of a skew-symmetric matrix is

The system of equations, x + y + z = 6, x + 2 y + 3 z = 14, x + 3 y + 5z = 20 has

The matrix of the transformation ‘reflection in the line x + y = 0 ‘is

A square matrix  A = [a_ij ]_{n ×n}  is called a diagonal matrix if  a_ij  = 0 for

If    and   then AB =

If  I_n is the identity matrix of order n, the  (In)⁻¹

If A = [x y z],    and C = [xyt]^t , then ABC is

If a square matrix A has two identical rows or columns , then det.A is :

For a skew symmetric odd ordered matrix A of integers, which of the following will hold true:

Matrix A when multiplied with Matrix C gives the Identity matrix I, what is C?

Let for any matrix M ,M⁻¹ exist. Which of the following is not true.

Rank of a non-zero matrix is always

For a non-trivial solution | A | is

If for a matrix A, A² +I = O where I is the identity matrix, then A equals

The system of linear equations x + y + z = 2, 2x + y - z = 3, 3x + 2y - kz = 4 has a unique solution if ,

The value of k for which the system of equations, x + k y + 3 z = 0, 3 x + k y –2 z = 0, 2 x + 3 y –4 z = 0, have a non-trival solution is