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

• 2s² A
• 2s³ B
• s³ C
• 3s³ D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Every identity matrix is

• Row-vector A
• Scalar B
• Column-vector C
• All D

• Diagonal matrix A
• Scalar matrix B
• Triangular matrix C
• Identity matrix D

• A^- A
• A^t B
• -A C
• A D

If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is

• Skew-symmetric A
• Symmetric B
• Null C
• Diagonal D

• x =0, y =4 A
• x = -1, y = 2 B
• x = 2, y = 3 C
• x = 3, y = 4 D

• -3 A
• -7 B
• 1 C
• 0 D

A square matrix A = [aij] is lower triangular matrix when

• aij = 0 for all i<j A
• bij = 0 B
• cij = 0 C
• dij = 0 D

Trival solution of homogeneous linear equation is

• (0, 0, 0) A
• (1, 2, 3) B
• (1, 3, 5) C
• a.b and c D

• -a -b -c A
• 1 B
• 0 C
• -1 D

• a²b²c² A
• 4a²b²c² B
• 4abc C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

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

The order of the matrix [1 2 3] is

• 1 x 1 A
• 3 x 3 B
• 3 x 1 C
• 1 x 3 D

• 3 x 1 A
• 1 x 3 B
• 3 x 3 C
• 1 x 1 D

• (2x4) A
• (2x7) B
• (2x3) C
• (7x2) D

• A A
• -A B
• A^t C
• A^- D

If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

• 2 AB A
• 2 BA B
• A + B C
• AB D

• Identity matrix A
• Diagonal matrix B
• Null matrix C
• Hermitian matrix D

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

• 2 A
• 4 B
• 6 C
• 8 D

Which of the following is an identity matrix?

• 
  A
• 
  B
• 
  C
• none of these D

The transport of a square matrix is a

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

For trival solution |A| is

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

• 0 A
• 1 B
• 2 C
• 3 D

• K/6 A
• 2K B
• 3K C
• 6K D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 16 A
• 256 B
• 64 C
• 1024 D