ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

• Orthogonal A
• Involutary B
• Idempotent C
• Nilpotent D

• 3K A
• K2 B
• K3 C
• K D

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

If A = |aij| is (m x n) matrix then transpose of A is of the order

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

• -a -b -c A
• 1 B
• 0 C
• -1 D

A diagonal matrix in which the diagonal elements are equal is called a

• Null matrix A
• Identity matrix B
• Scalar matrix C
• Row matrix 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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

(ABC)' =

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

We solve 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

The transpose of a zero matrix is a ______

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

For non-trival solution |A| is

• non zero A
• A = 0 B
• |A| = 0 C
• At = 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 4 B
• 6 C
• 8 D

For a square matrix A, if A = At, then A is called

• Matrix A
• Transpose B
• Symmetric C
• Non-symmetric D

• 
  A
• 
  B
• 
  C
• 
  D

A matrix with a single row is called a

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

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

If A is singular then |A| = ______

• 1 A
• 0 B
• 2 C
• None of these D

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

• 1 A
• -1 B
• 0 C
• I D

• -3 A
• -7 B
• 1 C
• 0 D

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

The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is

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

The matrix A = [aij]1xn is a

• Vector A
• Rectangular matrix B
• Column vector C
• Square matrix D

(ABC)' =

• CBA' A
• CBA B
• C'B'A C
• C'B'A' D

If A is a non-singular matrix then adj A is

• Non-singular A
• Symmetric B
• Singular C
• Non defined D

• I A
• 14 I B
• 0 C
• None of these D

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