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

• 
  A
• 
  B
• 
  C
• 
  D

Matrices are represented by

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

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

• 5 A
• 15 B
• 10 C
• 20 D

• 2 A
• 4 B
• 6 C
• 8 D

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

The square matrix A is skew-symmetric when At=

• -B A
• -C B
• -A C
• -D D

If A and B are skew-symmetric then (AB)t is

• At Bt A
• AB B
• -AB C
• BA 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

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

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

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

For any positive integer n

• ABn = Bn A ⇔ AB = BA A
• ABn = Bn A⇔ A,B are square matrices and AB = BA B
• ABn = BnA⇔ A + B C
• ABn = BnA ⇔ A and B are square matries D

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

Which of the following is an identity matrix?

• 
  A
• 
  B
• 
  C
• none of these D

If A is singular then |A| = ______

• 1 A
• 0 B
• 2 C
• None of these D

Matrix multiplication is

• Commutative A
• Not commutative B
• Not associative C
• Not distributive D

• (2x+a+b+c) A
• (a+b+c) B
• (a+b+c+x) C
• 0 D

If A = [aij]mxpand B =[aij]pxnthen order of BA is

• m x n A
• p x n B
• n x m C
• None of these D

• A^- A
• A^t B
• -A C
• A D

• k3 A
• 0 B
• 3k C
• k6 D

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

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

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

A matrix in which the number of rows is equal to the number of columns is called a

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

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

• 
  A
• 
  B
• 
  C
• 
  D

System of linear equations is inconsistent if

• System has no solution A
• System has one solution B
• System has two solution C
• None of above 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

• 0 A
• 1 B
• 2 C
• 4 D