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

• -a -b -c A
• 1 B
• 0 C
• -1 D

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

A matrix with a single column is called

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

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

If A is a non-singular matrix then adj A is

• Non-singular A
• Symmetric B
• Singular C
• Non defined D

• 5 A
• 
  B
• -5 C
• none D

Cofactor of an element a_ijis defined by

• (-1)^i+j|A| A
• (-1)^i+jM_ij B
• (-1)^i+jM^-1 C
• None of these D

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

• 1 x 1 A
• 1 x 10 B
• 10 x 10 C
• 10 x 1 D

• Singular A
• Non-singular B
• Adjoint C
• None of above D

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

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D 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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 2 C
• 4 D

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

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

• 
  A
• 
  B
• 
  C
• all are correct D

• 1 A
• -1 B
• 0 C
• I 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

A diagonal matrix is always

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

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

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

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

• At Bt A
• AB B
• -AB C
• BA 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

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

A and B be two square matrices and if their inverse exist, the (AB)^-1=

• A^-1B^-1 A
• AB^-1 B
• A^-1B C
• B^-1A^-1 D

• 1 A
• 0 B
• 3 C
• -1 D