ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

• 
  A
• 
  B
• 
  C
• all D

Trival solution of homogeneous linear equation is

• (0, 0, 0) A
• (1, 2, 3) B
• (1, 3, 5) C
• a.b and c D

The matrix A = [aij]mxn with m≠n is

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• -A C
• -1 D

• a = -1/2, b = -1 A
• a = 1, b = 2 B
• a = 2, b = 3 C
• None of above D

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

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

• 4A - 3I A
• 3A - 4I B
• A - I C
• None of these D

Every identity matrix is

• Row-vector A
• Scalar B
• Column-vector C
• All D

The transport of a square matrix is a

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

• 
  A
• 
  B
• 
  C
• 
  D

The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is

• 2 x 3 A
• 3 x 2 B
• 2 x 5 C
• 5 x 2 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

• 16 A
• 256 B
• 64 C
• 1024 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

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

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

• 0 A
• 1 B
• 2 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

The square matrix A is skew-symmetric when At=

• -B A
• -C B
• -A C
• -D D

• I A
• 14 I B
• 0 C
• None of these D

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

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

• At A
• -A B
• A C
• A-1 D

• -a -b -c A
• 1 B
• 0 C
• -1 D

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

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

• 5 A
• 
  B
• -5 C
• none D