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

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

For non-trival solution |A| is

• A = 0 A
• A^t= 0 B
• |A| = 0 C
• None of these 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

For non-trival solution |A| is

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

The transpose of a row matrix is a ______

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

• 
  A
• 
  B
• 
  C
• 
  D

• I A
• |A| B
• |A| I C
• None of these D

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 0 B
• -1 C
• 2 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

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

• (2x4) A
• (2x7) B
• (2x3) C
• (7x2) D

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

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

Which of the following is skew symmetric matrix

• 
  A
• 
  B
• 
  C
• 
  D

If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

• 2 AB A
• 2 BA B
• A + B C
• AB D

The matrix A = [aij]1xn is a

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

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

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

• 0 A
• 1 B
• -2 C
• 10 D

If A is any matrix then its additive inverse is

• A A
• A^-1 B
• A^t C
• -A D

(ABC)' =

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

For trival solution |A| is

• A A
• |A| is non zero B
• A = 0 C
• None of these D

The transpose of a column matrix is a ______

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

Matrices are represented by

• Natural numbers A
• Real numbers B
• Small letters C
• Capital letters D