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

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

• k3 A
• 0 B
• 3k C
• k6 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

• I A
• 14 I B
• 0 C
• None of these D

The matrix A is Hermitian when (A)' =

• A A
• -A B
• A C
• A' D

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

• A²- 5A + 7I = 1 A
• 2A²- 3A + 7I = 0 B
• A²- 5A + I = 0 C
• A²- 5A + 7I = 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• A2 A
• A3 B
• A C
• None of above D

• 0 A
• 1 B
• -A C
• -1 D

• I A
• |A| B
• |A| I C
• None of these D

• K/6 A
• 2K B
• 3K C
• 6K D

System of linear equations is inconsistent if

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

• Identity matrix A
• Diagonal matrix B
• Null matrix C
• Hermitian matrix D

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

The order of the matrix [1 2 3] is

• 1 x 1 A
• 3 x 3 B
• 3 x 1 C
• 1 x 3 D

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

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

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

For any positive integer n

• ABn = Bn A ⇔ AB = BA A
• ABn = Bn A⇔ A,B are square matrices and AB = BA B
• ABn = BnA⇔ A + B C
• ABn = BnA ⇔ A and B are square matries D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• (2x4) A
• (2x7) B
• (2x3) C
• (7x2) D