ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 5 (Matrices and Determinants)

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

• -a -b -c A
• 1 B
• 0 C
• -1 D

Matrices are represented by

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

The transport of a rectangular matrix is a

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

The square matrix A is skew Hermitian when (A)'=

• A A
• A' B
• -A C
• A D

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

• A2 A
• A3 B
• A C
• None of above D

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

• 6, -12, -18 A
• -6, 4, 9 B
• -6, -4, -9 C
• -6, 12, 18 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 D

For trival solution |A| is

• A A
• |A| is non zero B
• A = 0 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

• 
  A
• 
  B
• 
  C
• all are correct D

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

• 5 A
• 15 B
• 10 C
• 20 D

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

A diagonal matrix is always

• Identity A
• Triangular B
• Scalar C
• Non-singular D

If A is singular then |A| = ______

• 1 A
• 0 B
• 2 C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

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

• BA A
• A² B
• AB C
• B² D

If A is any matrix then its additive inverse is

• A A
• A^-1 B
• A^t C
• -A D

If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is

• Skew-symmetric A
• Symmetric B
• Null C
• Diagonal D

• 3, -3, 11 A
• 3, 3, 11 B
• -3, 3, -11 C
• -3, -3, 11 D

• -3 A
• -7 B
• 1 C
• 0 D

• a²b²c² A
• 4a²b²c² B
• 4abc C
• None D

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

• 
  A
• 
  B
• 
  C
• 
  D

The matrix A = [aij]mxn with m≠n is

• Rectangular A
• Symmetric B
• Square C
• None D