ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

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

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

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

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

• A2 A
• A3 B
• A C
• None of above D

For a square matrix A, if A = At, then A is called

• Matrix A
• Transpose B
• Symmetric C
• Non-symmetric D

The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is

• 2 x 3 A
• 3 x 2 B
• 2 x 5 C
• 5 x 2 D

• 2 A
• 4 B
• 6 C
• 8 D

• 
  A
• 
  B
• 
  C
• all D

The transport of a square matrix is a

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

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

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

The square matrix A is skew-symmetric when At=

• -B A
• -C B
• -A C
• -D D

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

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

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these 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

Two matrices A and B are conformable for the product AB if

• Both A and B are square A
• Both A and B are symmetric B
• Number of rows of A = number of columns of B C
• Number of columns of A = number of rows of B D

• 
  A
• 
  B
• 
  C
• 
  D

• a = -1/2, b = -1 A
• a = 1, b = 2 B
• a = 2, b = 3 C
• None of above D

The transpose of a zero matrix is a ______

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

• 5 A
• 
  B
• -5 C
• none D

The square matrix A is skew Hermitian when (A)'=

• A A
• A' B
• -A C
• A D

• 4A - 3I A
• 3A - 4I B
• A - I C
• None of these D

• A^- A
• A^t B
• -A C
• A D

• 
  A
• 
  B
• 
  C
• all are correct D

• 
  A
• 
  B
• 
  C
• 
  D

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

The matrix A is Hermitian when (A)' =

• A A
• -A B
• A C
• A' D

The matrix A = [aij]1xn is a

• Vector A
• Rectangular matrix B
• Column vector C
• Square matrix D

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

• BA A
• A2 B
• AB C
• B2 D

• I3 A
• rI3 B
• r C
• none D

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