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

• 
  A
• 
  B
• 
  C
• all are correct D

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

The transport of a rectangular matrix is a

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

Rank of matrix [1 3 5 0] is

• 1 A
• 3 B
• 2 C
• 4 D

• 16 A
• 256 B
• 64 C
• 1024 D

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

• 
  A
• 
  B
• 
  C
• 
  D

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

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

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

If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

• 2 AB A
• 2 BA B
• A + B C
• AB D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 1, 2, 3 A
• 1, 5, 9 B
• 2, 5, 8 C
• 3, 6, 9 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

For trival solution |A| is

• A A
• |A| = 0 B
• A = 0 C
• |A|≠ 0 D

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

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  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

The transpose of a column matrix is a ______

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

The number of non zero rows in echelon form of a matrix is called

• Order of matrix A
• Rank of matrix B
• Row operation C
• None of these D