ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

(ABC)' =

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

• Null matrix A
• Triangular matrix B
• Unit matrix C
• Rectangular matrix D

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

If A is singular then |A| = ______

• 1 A
• 0 B
• 2 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• k3 A
• 0 B
• 3k C
• k6 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• all D

• 
  A
• 
  B
• 
  C
• all are correct D

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

• 
  A
• 
  B
• 
  C
• 
  D

For a square matrix A, if A = A^t, then A is called

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

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

A matrix with a single column is called

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

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

• 0 A
• 1 B
• 2 C
• 3 D

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

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

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

The transport of a null matrix is

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

If the matrices A and B are conformable for multiplication then (AB)^t= ______

• AB A
• A^tB^t B
• B^tA^t C
• A^tB D

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

Minor of an element a_ijis denoted by

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

• 16 A
• 256 B
• 64 C
• 1024 D

For non-trival solution |A| is

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

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

The transpose of a zero matrix is a ______

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

• 
  A
• 
  B
• 
  C
• 
  D