ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

Every identity matrix is

• Row-vector A
• Scalar B
• Column-vector C
• All D

• 
  A
• 
  B
• 
  C
• 
  D

Cofactor of an element a_ijis defined by

• (-1)^i+j|A| A
• (-1)^i+jM_ij B
• (-1)^i+jM^-1 C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  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

• 0 A
• 1 B
• -2 C
• 10 D

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

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

The matrix A = [aij]1xn is a

• Vector A
• Rectangular matrix B
• Column vector C
• Square matrix 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

A diagonal matrix in which the diagonal elements are equal is called a

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

• 
  A
• 
  B
• 
  C
• 
  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
• 
  D

If there are m rows and n columns in a matrix then its order is

• m x n A
• m x m B
• n x n C
• n x m D

• 
  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

• k3 A
• 0 B
• 3k C
• k6 D

• a²b²c² A
• 4a²b²c² B
• 4abc C
• None D

• 3K A
• K2 B
• K3 C
• K 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

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

Matrix multiplication is

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

Matrices are represented by

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

An equation of the form ax + by = k is homogeneous linear equation when

• b = 0, a = 0 A
• a = 0,b ≠ 0 B
• b = -0,a≠ 0 C
• a≠ 0,b≠ 0, k = 0 D

• 
  A
• 
  B
• 
  C
• 
  D