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

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

Which of the following is skew symmetric matrix

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

• 1 A
• 0 B
• -1 C
• 2 D

A matrix in which the number of rows is not equal to the number of columns is called a

• Diagonal matrix A
• Rectangular matrix B
• Square matrix C
• Scalar matrix D

A matrix with a single row is called a

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

(ABC)' =

• CBA' A
• CBA B
• C'B'A C
• C'B'A' D

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

• A A
• -A B
• A^t C
• A^- D

• 1 A
• 0 B
• 3 C
• -1 D

• K/6 A
• 2K B
• 3K C
• 6K D

Let A be a square matrix. Then, 1/2 (A-A') is

• Skew-symmetric A
• Symmetric B
• Null C
• None of the above D

• 1, 2, 3 A
• 1, 5, 9 B
• 2, 5, 8 C
• 3, 6, 9 D

• Scalar matrix A
• Identity matrix B
• Null matrix C
• Symmetric matrix D

• 0 A
• 1 B
• 2 C
• 4 D

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

• 
  A
• 
  B
• 
  C
• 
  D

Matrix multiplication is

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

• 
  A
• 
  B
• 
  C
• 
  D

The transport of a rectangular matrix is a

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

• 
  A
• 
  B
• 
  C
• 
  D

• 5 A
• 15 B
• 10 C
• 20 D

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

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

• An upper triangular matrix A
• A lower triangular matrix B
• A diagonal matrix C
• A null matrix D

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

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