ECAT Mathematics Chapter 5 MCQ Test With Answer for Mathematics chapter 5 (Matrices and Determinants)

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

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

For trival solution |A| is

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

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

• At Bt A
• AB B
• -AB C
• BA D

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

• A A
• A' B
• -A C
• A 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

• K/6 A
• 2K B
• 3K C
• 6K D

• 
  A
• 
  B
• 
  C
• 
  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 a square matrix A, if A = A^t, then A is called

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

• 
  A
• 
  B
• 
  C
• 
  D

For a square matrix A, if A = At, then A is called

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

Matrix multiplication is

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

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

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

• 
  A
• 
  B
• 
  C
• 
  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

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

• BA A
• A2 B
• AB C
• B2 D

• 
  A
• 
  B
• 
  C
• 
  D

A matrix with a single row is called a

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

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

If A is any matrix then its additive inverse is

• A A
• A^-1 B
• A^t C
• -A D

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

The transport of a null matrix is

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

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

• 1 A
• 0 B
• -1 C
• 2 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

• 3, -3, 11 A
• 3, 3, 11 B
• -3, 3, -11 C
• -3, -3, 11 D

• -3 A
• -7 B
• 1 C
• 0 D