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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -2 C
• 10 D

• A²- 5A + 7I = 1 A
• 2A²- 3A + 7I = 0 B
• A²- 5A + I = 0 C
• A²- 5A + 7I = 0 D

• 
  A
• 
  B
• 
  C
• 
  D

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

Matrices are represented by

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

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

Which of the following is an identity matrix?

• 
  A
• 
  B
• 
  C
• none of these 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

• 3K A
• K2 B
• K3 C
• K D

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

• 6, -12, -18 A
• -6, 4, 9 B
• -6, -4, -9 C
• -6, 12, 18 D

• -3 A
• -7 B
• 1 C
• 0 D

If A is any matrix then its additive inverse is

• A A
• A^-1 B
• A^t C
• -A D

A square matrix A for which A^t= A is called a

• Column matrix A
• Symmetric matrix B
• Skew-symmetric matrix C
• Row matrix D

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

If A is singular then |A| = ______

• 1 A
• 0 B
• 2 C
• None of these D

The matrix A is Hermitian when (A)' =

• A A
• -A B
• A C
• A' D

• 2s² A
• 2s³ B
• s³ C
• 3s³ D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• all 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

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

• BA A
• A2 B
• AB C
• B2 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

• 
  A
• 
  B
• 
  C
• 
  D

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

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