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

• I A
• 14 I B
• 0 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

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

• A A
• A' B
• -A C
• A D

• k3 A
• 0 B
• 3k C
• k6 D

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

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

• 1 A
• 0 B
• 3 C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

For a square matrix A, if A = A^t, then A is called

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

• A(α) - A(β) A
• A(α) + A(β) B
• A(α-β) C
• A(α+β) D

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

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

• Orthogonal A
• Involutary B
• Idempotent C
• Nilpotent D

For trival solution |A| is

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

Matrices are represented by

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

For trival solution |A| is

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

System of linear equation is inconsistent if

• System has no solution A
• System has one solution B
• System has two solution C
• None of above D

• 
  A
• 
  B
• 
  C
• 
  D

(ABC)' =

• CBA' A
• CBA B
• C'B'A C
• C'B'A' 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

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

• 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

• 
  A
• 
  B
• 
  C
• 
  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

If A and B are skew-symmetric then (AB)t is

• At Bt A
• AB B
• -AB C
• BA D

The transport of a square matrix is a

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

• 5 A
• 
  B
• -5 C
• none D

• a = 2, b = 3 A
• a = 3, b = 2 B
• a = 2, b = 1, 2 C
• a = 3, b = 3 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

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