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

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

• 5 A
• 15 B
• 10 C
• 20 D

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

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

A square matrix all of whose elements except the main diagonal are zeros is called a

• Null matrix A
• Singular matrix B
• Symmetric matrix C
• Diagonal matrix D

• 3K A
• K2 B
• K3 C
• K D

• I A
• 14 I B
• 0 C
• None of these 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

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

Which of the following is an identity matrix?

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following is skew symmetric matrix

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• BA A
• A² B
• AB C
• B² D

• 
  A
• 
  B
• 
  C
• all D

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

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

The square matrix A is skew-symmetric when At=

• -B A
• -C B
• -A C
• -D D

A and B be two square matrices and if their inverse exist the (AB)-1 =

• A-1 B-1 A
• AB-1 B
• A-1B C
• B-1A-1 D

• Singular A
• Non-singular B
• Adjoint C
• None of above D

Matrix multiplication is

• Commutative A
• Not commutative B
• Not associative C
• Not distributive D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  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

(ABC)' =

• CBA' A
• CBA B
• C' B' A' C
• None of these D