ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 5

The square matrix A is skew Hermitian when (A)'=

• A A
• A' B
• -A C
• A D

The transport of a null matrix is

• Row matrix A
• Column matrix B
• Square matrix C
• Null matrix D

Cofactor of an element a_ijis defined by

• (-1)^i+j|A| A
• (-1)^i+jM_ij B
• (-1)^i+jM^-1 C
• None of these D

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

A matrix in which the number of rows is not equal to the number of columns is called a

• Diagonal matrix A
• Rectangular matrix B
• Square matrix C
• Scalar matrix D

• Zero matrix A
• Diagonal matrix B
• Column matrix C
• Scalar matrix D

• K/6 A
• 2K B
• 3K C
• 6K D

The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is

• 3 x 3 A
• 3 x 2 B
• 2 x 5 C
• 5 x 2 D

For trival solution |A| is

• A A
• |A| is non zero B
• A = 0 C
• None of these D

We also the system of non-homogeneous linear equations by

• a and b A
• b and c B
• c and a C
• a, b and c D

Matrices are represented by

• Natural numbers A
• Real numbers B
• Small letters C
• Capital letters D

System of linear equations is inconsistent if

• System has no solution A
• System has one solution B
• System has two solution C
• None of above D

If A is any matrix then its additive inverse is

• A A
• A^-1 B
• A^t C
• -A D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is an identity matrix?

• 
  A
• 
  B
• 
  C
• none of these D

• 1 A
• 0 B
• -1 C
• 2 D

For trival solution |A| is

• A A
• |A| = 0 B
• A = 0 C
• |A|≠ 0 D

• 9/4 A
• 4/9 B
• 1 C
• None of these D

The transpose of a column matrix is a ______

• Zero matrix A
• Diagonal matrix B
• Column matrix C
• Row matrix D

• a = 2, b = 3 A
• a = 3, b = 2 B
• a = 2, b = 1, 2 C
• a = 3, b = 3 D

• 3, -3, 11 A
• 3, 3, 11 B
• -3, 3, -11 C
• -3, -3, 11 D

• A^- A
• A^t B
• -A C
• A D

Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =

• 
  A
• 
  B
• 
  C
• 
  D

If A = [aij]mxpand B =[aij]pxnthen order of BA is

• m x n A
• p x n B
• n x m C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• a = 4, b = 1 A
• a = 1, b = -4 B
• a = 0, b = 4 C
• a = 2, b = 4 D

Which of the following is skew symmetric matrix

• 
  A
• 
  B
• 
  C
• 
  D

For non-trival solution |A| is

• non zero A
• A = 0 B
• |A| = 0 C
• At = 0 D

The matrix A = [aij]mxn with m ≠n is always

• Symmetric A
• Hermition B
• Skew-symmetric C
• None D

• 
  A
• 
  B
• 
  C
• 
  D