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

The transport of a square matrix is a

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

Rank of matrix [1 3 5 0] is

• 1 A
• 3 B
• 2 C
• 4 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

Minor of an element a_ijis denoted by

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

The number of non zero rows in echelon form of a matrix is called

• Order of matrix A
• Rank of matrix B
• Row operation C
• None of these D

• Zero matrix A
• Diagonal matrix B
• Column matrix C
• Scalar matrix D

For trival solution |A| is

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

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

• -a -b -c A
• 1 B
• 0 C
• -1 D

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

• BA A
• A2 B
• AB C
• B2 D

If A is a non singular matrix then A^-1= ______

• 
  A
• 
  B
• 
  C
• 
  D

If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

• 2 AB A
• 2 BA B
• A + B C
• AB D

Matrix multiplication is

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

• 2s² A
• 2s³ B
• s³ C
• 3s³ D

• 
  A
• 
  B
• 
  C
• 
  D

For trival solution |A| is

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

Let A be a square matrix. Then, 1/2 (A-A') is

• Skew-symmetric A
• Symmetric B
• Null C
• None of the above D

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

• 
  A
• 
  B
• 
  C
• all are correct 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

(ABC)' =

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

A diagonal matrix is always

• Identity A
• Triangular B
• Scalar C
• Non-singular D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• At Bt A
• AB B
• -AB C
• BA D

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

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

• At A
• -A B
• A C
• A-1 D

• 
  A
• 
  B
• 
  C
• 
  D