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

• 3K A
• K2 B
• K3 C
• K D

• 
  A
• 
  B
• 
  C
• 
  D

• (2x+a+b+c) A
• (a+b+c) B
• (a+b+c+x) C
• 0 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

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

• Hermitian matrix A
• Skew-hermitian matrix B
• Symmetric matrix C
• Identity matrix 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

• 
  A
• 
  B
• 
  C
• 
  D

A matrix with a single column is called

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

The matrix A is Hermitian when (A)' =

• A A
• -A B
• A C
• A' D

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

• 
  A
• 
  B
• 
  C
• 
  D

The transport of a square matrix is a

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

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

The transpose of a row matrix is a ______

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

• 1 x 1 A
• 1 x 10 B
• 10 x 10 C
• 10 x 1 D

• 1 A
• -1 B
• 0 C
• I D

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

• I3 A
• rI3 B
• r C
• none D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  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

• -3 A
• -7 B
• 1 C
• 0 D

In order of A is m x n and order of B is n x p then order of AB is

• m x m A
• n x n B
• m x p C
• p x m D

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

• 2s² A
• 2s³ B
• s³ C
• 3s³ D