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

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

• 
  A
• 
  B
• 
  C
• 
  D

• At A
• -A B
• A C
• A-1 D

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

• A2 A
• A3 B
• A C
• None of above D

• 
  A
• 
  B
• 
  C
• 
  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

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

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

Trival solution of homogeneous linear equation is

• (0, 0, 0) A
• (1, 2, 3) B
• (1, 3, 5) C
• a.b and c D

If order of A is m x n, then order of A^tis

• m x m A
• n x n B
• m x n C
• n x m D

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

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

• 1 x 1 A
• 1 x 10 B
• 10 x 10 C
• 10 x 1 D

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

A matrix in which the number of rows is equal to the number of columns is called a

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

• 1 A
• 0 B
• 3 C
• -1 D

The matrix A is Hermitian when (A)' =

• A A
• -A B
• A C
• A' D

If A = [aij]mxpand B =[aij]pxnthen order of BA is

• m x n A
• p x n B
• n x m C
• None of these D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Every identity matrix is

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

A = [3] is a/an

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

• A^- A
• A^t B
• -A C
• A D

• 
  A
• 
  B
• 
  C
• 
  D

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

• A A
• A' B
• -A C
• A D

• -3 A
• -7 B
• 1 C
• 0 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

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

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