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

A diagonal matrix is always

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

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

If for the matrix A, A⁵= I, then A^-1=

• A² A
• A³ B
• A C
• None of above D

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

• 0 A
• 1 B
• 2 C
• 4 D

• 
  A
• 
  B
• 
  C
• all are correct D

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

Which of the following is skew symmetric matrix

• 
  A
• 
  B
• 
  C
• 
  D

A square matrix A = [aij] is lower triangular matrix when

• aij = 0 for all i<j A
• bij = 0 B
• cij = 0 C
• dij = 0 D

• 0 A
• 1 B
• 2 C
• 3 D

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

• -3 A
• -7 B
• 1 C
• 0 D

Matrix multiplication is

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

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

A square matrix all of whose elements except the main diagonal are zeros is called a

• Null matrix A
• Singular matrix B
• Symmetric matrix C
• Diagonal matrix D

If A = |aij| 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

Which of the following is an identity matrix?

• 
  A
• 
  B
• 
  C
• none of these D

The matrix A = [aij]mxn with m≠n is

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

A = [3] is a/an

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

For trival solution |A| is

• A A
• |A| is non zero B
• A = 0 C
• None of these D

• -a -b -c A
• 1 B
• 0 C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

Matrices are represented by

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

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

• BA A
• A2 B
• AB C
• B2 D

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

The transport of a null matrix is

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

• 0 A
• 1 B
• -A C
• -1 D

Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D