Q.1
The linear system Cx = d is known as _________ if d! = 0.
  • a) homogeneous
  • b) heterogeneous
  • c) nonhomogeneous
  • d) augmented system
Q.2
Every linear equation determines a _______ in n-dimensional space for n variables.
  • a) shipshape
  • b) hyperplane
  • c) cone
  • d) pyramid
Q.3
Determine all possibilities for the number of solutions of the system of 7 equations in 5 unknowns and it has x1 =x2 = −and x3 = 4 as a solution.
  • a) unique or infinitely many
  • b) unique
  • c) finitely many
  • d) zero
Q.4
Determine all possibilities for the solution set of the homogeneous system that has y1 =y2 = −y3 = 0 as a solution.
  • a) zero
  • b) infinitely many
  • c) finitely many
  • d) only one
Q.5
Determine all possibilities for the solution set of the homogeneous system of 5 equations in 3 unknowns and the rank of the system is 3.
  • a) more than two
  • b) only one
  • c) zero
  • d) infinite
Q.6
Determine all possibilities for the solution set of a homogeneous system that has y1 =y2 = −y3 = 2 as a solution.
  • a) one
  • b) finitely many
  • c) infinitely many
  • d) either one or infinitely many
Q.7
Determine all possibilities for the solution set of the system of 2 equations in 3 unknowns that has x1 =x2 = −x3 = 0 as a solution.
  • a) one or finitely many
  • b) infinite
  • c) finite
  • d) zero
Q.8
Determine all possibilities for the solution set of a homogeneous system of 4 equations in 4 unknowns.
  • a) only one
  • b) finitely many or zero
  • c) zero
  • d) one or infinitely many
Q.9
Determine all possibilities for the solution set of a homogeneous system of 6 equations in 5 unknowns.
  • a) only one
  • b) zero
  • c) one or infinitely many
  • d) finitely many
Q.10
Determine all possibilities for the solution set of a homogeneous system of 5 equations in 4 unknowns and the rank of the system is 3.
  • a) finite
  • b) zero or finitely many
  • c) only one
  • d) infinite
0 h : 0 m : 1 s