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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 2 C
• 3 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

• 1 A
• -1 B
• 0 C
• I D

• At A
• -A B
• A C
• A-1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• A² A
• A³ B
• A C
• None of above D

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

• BA A
• A² B
• AB C
• B² D

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

If A is any matrix then its additive inverse is

• A A
• A^-1 B
• A^t C
• -A D

• 
  A
• 
  B
• 
  C
• 
  D

• 16 A
• 256 B
• 64 C
• 1024 D

For trival solution |A| is

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

• 1 A
• 0 B
• -1 C
• 2 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 4 B
• 6 C
• 8 D

The square matrix A is skew-symmetric when At=

• -B A
• -C B
• -A C
• -D D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 3 x 1 A
• 1 x 3 B
• 3 x 3 C
• 1 x 1 D

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

If A is a non singular matrix then A^-1= ______

• 
  A
• 
  B
• 
  C
• 
  D