ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

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

(ABC)' =

• CBA' A
• CBA B
• C'B'A C
• C'B'A' D

• x =0, y =4 A
• x = -1, y = 2 B
• x = 2, y = 3 C
• x = 3, y = 4 D

The transport of a square matrix is a

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

If A = [a_ij] 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

Cofactor of an element aij denoted by Aij is

• (-2)i+j A
• Mij B
• (-1)i+j Mij C
• None of above D

• 2 x 2 A
• 2 x 3 B
• 3 x 2 C
• 3 x 3 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

If A = [aij]mxpand B =[aij]pxnthen order of BA is

• m x n A
• p x n B
• n x m C
• None of these D

For trival solution |A| is

• A A
• |A| = 0 B
• A = 0 C
• |A|≠ 0 D

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

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

• 1 A
• -1 B
• 0 C
• I 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

• 2s² A
• 2s³ B
• s³ C
• 3s³ D

• 
  A
• 
  B
• 
  C
• all D

A non-homogeneous linear system AX = B has no solution if

• |A| = 0 A
• |A|≠ 0 B
• Rank (a) = no of variables C
• Rank > no of variables D

• 1 A
• 0 B
• -1 C
• 2 D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• -3 A
• -7 B
• 1 C
• 0 D

Matrices are represented by

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

• 9/4 A
• 4/9 B
• 1 C
• None of these D

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

• 
  A
• 
  B
• 
  C
• all are correct D

• 1, 2, 3 A
• 1, 5, 9 B
• 2, 5, 8 C
• 3, 6, 9 D

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

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

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