ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

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

The matrix A = [aij]1xn is a

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

The transpose of a row matrix is a ______

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

• -3 A
• -7 B
• 1 C
• 0 D

If A is singular then |A| = ______

• 1 A
• 0 B
• 2 C
• None of these D

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

• 0 A
• 1 B
• 2 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

• K/6 A
• 2K B
• 3K C
• 6K D

Rank of matrix [1 3 5 0] is

• 1 A
• 3 B
• 2 C
• 4 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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• a²b²c² A
• 4a²b²c² B
• 4abc C
• None D

The square matrix A is skew-symmetric when At=

• -B A
• -C B
• -A C
• -D D

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

Two matrices A and B are conformable for the product AB if

• Both A and B are square A
• Both A and B are symmetric B
• Number of rows of A = number of columns of B C
• Number of columns of A = number of rows of B D

• 5 A
• 15 B
• 10 C
• 20 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Trival solution of homogeneous linear equation is

• (0, 0, 0) A
• (1, 2, 3) B
• (1, 3, 5) C
• a.b and c D

• 16 A
• 256 B
• 64 C
• 1024 D

The matrix A = [aij]mxn with m ≠n is always

• Symmetric A
• Hermition B
• Skew-symmetric C
• None 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

• k3 A
• 0 B
• 3k C
• k6 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

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

Minor of an element a_ijis denoted by

• M_ij A
• A_ij B
• |A| C
• None of these D

• 0 A
• 1 B
• -2 C
• 10 D