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

If A is a non singular matrix then A^-1= ______

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• all are correct D

• 
  A
• 
  B
• 
  C
• 
  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 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

• 1 A
• 0 B
• -1 C
• 2 D

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

The transpose of a column matrix is a ______

• Zero matrix A
• Diagonal matrix B
• Column matrix C
• Row matrix D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

Matrix multiplication is

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

• 
  A
• 
  B
• 
  C
• 
  D

Every identity matrix is

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

Which of the following is skew symmetric matrix

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• Independent of a B
• Independent of b C
• Independent of c D

Matrices are represented by

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

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

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

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

A matrix with a single row is called a

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

The matrix A = [aij]mxn with m≠n is

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

• 1 A
• 0 B
• 3 C
• -1 D