ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

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

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

• 0 A
• 1 B
• -A C
• -1 D

• A A
• -A B
• A^t C
• A^- D

(ABC)' =

• CBA' A
• CBA B
• C'B'A C
• C'B'A' D

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

• I3 A
• rI3 B
• r C
• none D

We solve the system of non-homogeneous linear equations by

• a and b A
• b and c B
• c and a 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

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

If A = [a_ij] 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
• 
  B
• 
  C
• all D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -2 C
• 10 D

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

• 
  A
• 
  B
• 
  C
• 
  D

The transpose of a zero matrix is a ______

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

• 
  A
• 
  B
• 
  C
• 
  D

For trival solution |A| is

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

The transpose of a row matrix is a ______

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

• An upper triangular matrix A
• A lower triangular matrix B
• A diagonal matrix C
• A null matrix D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 3 x 1 A
• 1 x 3 B
• 3 x 3 C
• 1 x 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

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

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

Matrix multiplication is

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

• 3K A
• K2 B
• K3 C
• K D