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

For non-trival solution |A| is

• non zero A
• A = 0 B
• |A| = 0 C
• At = 0 D

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

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

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

• At Bt A
• AB B
• -AB C
• BA D

A diagonal matrix in which the diagonal elements are equal is called a

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

• A(α) - A(β) A
• A(α) + A(β) B
• A(α-β) C
• A(α+β) D

If A is singular then |A| = ______

• 1 A
• 0 B
• 2 C
• None of these 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

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

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

A diagonal matrix is always

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

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

• 
  A
• 
  B
• 
  C
• 
  D

• Square matrix A
• Row matrix B
• Symmetric matrix C
• Null matrix 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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 3, -3, 11 A
• 3, 3, 11 B
• -3, 3, -11 C
• -3, -3, 11 D

• 0 A
• 1 B
• 2 C
• 3 D

The matrix A = [aij]mxn with m≠n is

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

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

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

• I3 A
• rI3 B
• r C
• none D

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

• 2s² A
• 2s³ B
• s³ C
• 3s³ D

A matrix with a single column is called

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

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

A matrix in which the number of rows is not equal to the number of columns is called a

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

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