ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

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

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

• 5 A
• 
  B
• -5 C
• none D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• -3 A
• -7 B
• 1 C
• 0 D

System of linear equations is inconsistent if

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

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

In order of A is m x n and order of B is n x p then order of AB is

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

For trival solution |A| is

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

• 0 A
• Independent of a B
• Independent of b C
• Independent of c D

Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for

• BA A
• A² B
• AB C
• B² D

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

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

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

• A A
• -A B
• A^t C
• A^- D

• 
  A
• 
  B
• 
  C
• 
  D

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

A square matrix A = [aij] is upper triangular when

• cij = 0 A
• bij = 0 B
• aij = 0 for all i > j C
• dij = 0 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

(ABC)' =

• CBA' A
• CBA B
• C'B'A C
• C'B'A' D

• 
  A
• 
  B
• 
  C
• all are correct D

If for the matrix A, A⁵= I, then A^-1=

• A² A
• A³ B
• A C
• None of above 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

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

• k3 A
• 0 B
• 3k C
• k6 D

A = [3] is a/an

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

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