ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 5

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

• 
  A
• 
  B
• 
  C
• all are correct D

Which of the following is skew symmetric matrix

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 4 B
• 6 C
• 8 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

Every identity matrix is

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

• 4A - 3I A
• 3A - 4I B
• A - I C
• None of these D

System of linear equation is inconsistent if

• System has no solution A
• System has one solution B
• System has two solution C
• None of above 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 square matrix A = [aij] is upper triangular when

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

• 0 A
• 1 B
• 2 C
• 3 D

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

• A²- 5A + 7I = 1 A
• 2A²- 3A + 7I = 0 B
• A²- 5A + I = 0 C
• A²- 5A + 7I = 0 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

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

• 1 A
• 0 B
• -1 C
• 2 D

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

• A A
• A' B
• -A C
• A 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 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

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

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

• k3 A
• 0 B
• 3k C
• k6 D

• 16 A
• 256 B
• 64 C
• 1024 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

The transport of a rectangular matrix is a

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

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

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

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

• K/6 A
• 2K B
• 3K C
• 6K D