ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

A and B be two square matrices and if their inverse exist the (AB)-1 =

• A-1 B-1 A
• AB-1 B
• A-1B C
• B-1A-1 D

• 0 A
• abc B
• 1/abc C
• None of these 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

• 
  A
• 
  B
• 
  C
• 
  D

The transport of a null matrix is

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

• -a -b -c A
• 1 B
• 0 C
• -1 D

• Hermitian matrix A
• Skew-hermitian matrix B
• Symmetric matrix C
• Identity matrix D

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

The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is

• 2 x 3 A
• 3 x 2 B
• 2 x 5 C
• 5 x 2 D

The square matrix A is skew-symmetric when At=

• -B A
• -C B
• -A C
• -D 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

For trival solution |A| is

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

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

• 
  A
• 
  B
• 
  C
• 
  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

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

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

Minor of an element a_ijis denoted by

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

• (2x+a+b+c) A
• (a+b+c) B
• (a+b+c+x) C
• 0 D

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

• At Bt A
• AB B
• -AB C
• BA D

A square matrix A = [aij] is upper triangular when

• cij = 0 A
• bij = 0 B
• aij = 0 for all i > j C
• dij = 0 D

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

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

System of linear equations is inconsistent if

• System has no solution A
• System has one solution B
• System has two solution C
• None of above D

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

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

• 
  A
• 
  B
• 16 C
• None of these D