ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

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  A
• 
  B
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  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 trival solution |A| is

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

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

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

• 2 A
• 4 B
• 6 C
• 8 D

Cofactor of an element aij denoted by Aij is

• (-2)i+j A
• Mij B
• (-1)i+j Mij C
• None of above 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
• 
  B
• 
  C
• 
  D

The transport of a rectangular matrix is a

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

• 3K A
• K2 B
• K3 C
• K D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 0 B
• -1 C
• 2 D

• 
  A
• 
  B
• 
  C
• 
  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

• Identity matrix A
• Diagonal matrix B
• Null matrix C
• Hermitian matrix 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 square matrix all of whose elements except the main diagonal are zeros is called a

• Null matrix A
• Singular matrix B
• Symmetric matrix C
• Diagonal matrix 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

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

• -3 A
• -7 B
• 1 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• x =0, y =4 A
• x = -1, y = 2 B
• x = 2, y = 3 C
• x = 3, y = 4 D

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

• 
  A
• 
  B
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  C
• 
  D

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

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

The matrix A is Hermitian when (A)' =

• A A
• -A B
• A C
• A' D

A diagonal matrix is always

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

• 
  A
• 
  B
• 
  C
• 
  D