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

• a = -1/2, b = -1 A
• a = 1, b = 2 B
• a = 2, b = 3 C
• None of above D

• 1 A
• 0 B
• -1 C
• 2 D

If A is any matrix then its additive inverse is

• A A
• A^-1 B
• A^t C
• -A D

• 0 A
• abc B
• 1/abc C
• None of these D

• I A
• |A| B
• |A| I C
• None of these D

An equation of the form ax + by = k is homogeneous linear equation when

• b = 0, a = 0 A
• a = 0,b ≠ 0 B
• b = -0,a≠ 0 C
• a≠ 0,b≠ 0, k = 0 D

A matrix with a single column is called

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

• I A
• 14 I B
• 0 C
• None of these D

• K/6 A
• 2K B
• 3K C
• 6K D

• 
  A
• 
  B
• 
  C
• all are correct D

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

• 
  A
• 
  B
• 
  C
• 
  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

Which of the following is an identity matrix?

• 
  A
• 
  B
• 
  C
• none of these D

• 1 A
• 0 B
• 3 C
• -1 D

• Null matrix A
• Triangular matrix B
• Unit matrix C
• Rectangular matrix D

• 5 A
• 
  B
• -5 C
• none D

An equation of the form ax + by = k is homogeneous linear equation when:

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 2 A
• 4 B
• 6 C
• 8 D

• -3 A
• -7 B
• 1 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

• Symmetric A
• Skew-symmetric B
• Hermitian C
• Skew hermitian D

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

• BA A
• A2 B
• AB C
• B2 D

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

(ABC)' =

• CBA' A
• CBA B
• C'B'A C
• C'B'A' 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

• 0 A
• Independent of a B
• Independent of b C
• Independent of c D