Q.1
The solution of the given matrix equation is _____
  • a) x1 = 1, x2 = 1, x3 = 2
  • b) x1 = 0, x2 = 0, x3 = 0
  • c) x1 = 3, x2 = -1, x3 = -1
  • d) x1 = 0, x2 = -2, x3 = 4
Q.2
Which one of the following is not a criterion for linearity of an equation?
  • a) The dependent variable y should be of second order
  • b) The derivatives of the dependent variable should be of second order
  • c) Each coefficient does not depend on the independent variable
  • d) Each coefficient depends only on the independent variable
Q.3
Which among the following does not belong to main types of integrals?
  • a) Indefinite Integral
  • b) Proper Definite Integral
  • c) Improper Definite Integral
  • d) Real Integral
Q.4
Which of the following is true for matrices?
  • a) (AB)-1 = B-1A-1
  • b) (AT) = A
  • c) AB = BA
  • d) A*I = I
Q.5
Euler’s integral of the first kind, which is a proper integral, is used to define the gamma function.
  • a) True
  • b) False
Q.6
The determinant of the matrix whose eigen values are9 is given by ________
  • a) 7
  • b) 63
  • c) 9
  • d) 17
Q.7
Find the values of x and y in the matrix below if the matrix is a skew symmetric matrix.
  • a) x = -6, y = 3
  • b) x = 3, y = 3
  • c) x = 6, y = -3
  • d) x = 0, y = 3
Q.8
The sum of two symmetric matrices is also a symmetric matrix.
  • a) False
  • b) True
0 h : 0 m : 1 s