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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 1 A
• -1 B
• 0 C
• I D

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

• At A
• -A B
• A C
• A-1 D

• A A
• -A B
• A^t C
• A^- D

If order of A is m x n, then order of A^tis

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

Which of the following is an identity matrix?

• 
  A
• 
  B
• 
  C
• none of these D

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

A square matrix all of whose elements except the main diagonal are zeros is called a

• Null matrix A
• Singular matrix B
• Symmetric matrix C
• Diagonal matrix D

For trival solution |A| is

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

The additive inverse of a matrix A is

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

The order of the matrix [1 2 3] is

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

A matrix in which the number of rows is not equal to the number of columns is called a

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

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

• A A
• A' B
• -A C
• A D

The matrix A = [aij]mxn with m≠n is

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

• 
  A
• 
  B
• 
  C
• 
  D

A diagonal matrix is always

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

• Hermitian matrix A
• Skew-hermitian matrix B
• Symmetric matrix C
• Identity matrix D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 5 A
• 15 B
• 10 C
• 20 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 matrix with a single row is called a

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

Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -2 C
• 10 D

• 
  A
• 
  B
• 
  C
• 
  D

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