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

(ABC)' =

• CBA' A
• CBA B
• C'B'A C
• C'B'A' D

Matrices are represented by

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

• Hermitian matrix A
• Skew-hermitian matrix B
• Symmetric matrix C
• Identity matrix D

If there are m rows and n columns in a matrix then its order is

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

(ABC)' =

• CBA' A
• CBA B
• C' B' A' C
• None of these 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

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

• Diagonal matrix A
• Scalar matrix B
• Triangular matrix C
• Identity 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 transport of a null matrix is

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

If A is a non-singular matrix then adj A is

• Non-singular A
• Symmetric B
• Singular C
• Non defined 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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• abc B
• 1/abc C
• None of these D

• At A
• -A B
• A C
• A-1 D

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

For trival solution |A| is

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

• 5 A
• 15 B
• 10 C
• 20 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Matrix multiplication is

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

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

• A2 A
• A3 B
• A C
• None of above D

Cofactor of an element a_ijis defined by

• (-1)^i+j|A| A
• (-1)^i+jM_ij B
• (-1)^i+jM^-1 C
• None of these D

If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is

• Skew-symmetric A
• Symmetric B
• Null C
• Diagonal D

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

For trival solution |A| is

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

• 
  A
• 
  B
• 
  C
• 
  D

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