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

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

• A A
• A' B
• -A C
• A D

• 
  A
• 
  B
• 
  C
• 
  D

• 9/4 A
• 4/9 B
• 1 C
• None of these D

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

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

• BA A
• A2 B
• AB C
• B2 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

• K/6 A
• 2K B
• 3K C
• 6K D

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

For non-trival solution |A| is

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

• 
  A
• 
  B
• 
  C
• 
  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

In order of A is m x n and order of B is n x p then order of AB is

• m x m A
• n x n B
• m x p C
• p x m 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

Every identity matrix is

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

Which of the following is an identity matrix?

• 
  A
• 
  B
• 
  C
• none of these D

Minor of an element a_ijis denoted by

• M_ij A
• A_ij B
• |A| C
• None of these D

A = [3] is a/an

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

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

For trival solution |A| is

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

• 
  A
• 
  B
• 
  C
• 
  D

• I3 A
• rI3 B
• r C
• none D

• 5 A
• 15 B
• 10 C
• 20 D

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

The matrix A is Hermitian when (A)' =

• A A
• -A B
• A C
• A' D

If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix

• A2 A
• A5 B
• A3 C
• A7 D

• a = 4, b = 1 A
• a = 1, b = -4 B
• a = 0, b = 4 C
• a = 2, b = 4 D

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

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

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

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