ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

If there are m rows and n columns in a matrix then its order is

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

• 3K A
• K2 B
• K3 C
• K D

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

• I3 A
• rI3 B
• r C
• none D

System of linear equation is inconsistent if

• System has no solution A
• System has one solution B
• System has two solution C
• None of above D

The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is

• 3 x 3 A
• 3 x 2 B
• 2 x 5 C
• 5 x 2 D

Which of the following is an identity matrix?

• 
  A
• 
  B
• 
  C
• none of these D

• a = 4, b = 1 A
• a = 1, b = -4 B
• a = 0, b = 4 C
• a = 2, b = 4 D

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

Every identity matrix is

• Row-vector A
• Scalar B
• Column-vector C
• All 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

• 4A - 3I A
• 3A - 4I B
• A - I C
• None of these D

• 2s² A
• 2s³ B
• s³ C
• 3s³ D

If the matrices A and B are conformable for multiplication then (AB)^t= ______

• AB A
• A^tB^t B
• B^tA^t C
• A^tB D

• 0 A
• 1 B
• -A C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 5 A
• 15 B
• 10 C
• 20 D

• 
  A
• 
  B
• 
  C
• 
  D

• Diagonal matrix A
• Scalar matrix B
• Triangular matrix C
• Identity matrix D

• 1 A
• 0 B
• -1 C
• 2 D

• 
  A
• 
  B
• 
  C
• 
  D

The square matrix A is skew-symmetric when At=

• -B A
• -C B
• -A C
• -D D

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

A matrix with a single column is called

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

The square matrix A is skew Hermitian when (A)'=

• A A
• A' B
• -A C
• A D

• At A
• -A B
• A C
• A-1 D

• -3 A
• -7 B
• 1 C
• 0 D