Matrices and De...

The number of all possible matrices of order  3 ×3 with each entry 0 if 1 is

This matrix  is a _______ .

Two matrices A and B are multiplicative inverse of each other only if

For what value of  λ the following system of equations does not have a solution ? x + y + z = 6, 4x + λy - λz = 0, 3 x + 2y –4 z = - 5

I₂  is the matrix

Let A be any  m ×n matrix, then  A² can be found only when

The order of the single matrix obtained from is

If A and B are square matrices of the same order, then(A+B)²  = A² +2AB+B² implies

The value of λ, for which system of equations. x + y + z = 1, x + 2y + 2z = 3, x + 2y + λz = 4, have no solution is

If A is a matrix of order 3  × 4 , then each row of A has

If A and B are any two matrices, then

If, we are given  a  square  matrix  A   then, Adj.(KA) = ….

The system of equations,x + y = 2 and 2x + 2y = 3 has

If P is of order  2  × 3 and Q is of order  3  × 2, then PQ is of order

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

If A and B are any two square matrices of the same order, then

The transformation ‘orthogonal projection on X-axis ’is given by the matrix

The equations x + 2y + 2z = 1 and 2x + 4 y + 4z = 9 have

The number of all the possible matrices of order  2  × 2  with each entry 0, 1 or 2 is

A square matrix  A = [a_ij ]_{n ×n}   is called an upper triangular if  a_ij  = 0  for

If A is any square matrix, then

The equations, x + 4 y –2 z = 3, 3 x + y + 5 z = 7, 2 x + 3y +z = 5 have

If the system of equationsx + 4 ay + az = 0, x + 3by + bz = 0 andx + 2 cy +cz = 0 have a non-zero solution,then a, b, c are in