Tuesday, 24 March 2020

MTH401-Differential Equations Quiz MCQs Lecture 23-45 Finalterm Objective Questions | SUPERSTARWEBTECH


MTH401-Differential Equations Quiz MCQS #Objective #Questions #FinalTerm

1. The non-trivial solution of the system of differential equation exist only when
  • det(X-λI)=0
  • det(A-λI)≠0
  • det(A+λI)=0
  • det(A-λI)=0
2. Vectors
( -1 ) and ( 2 ) are linearly ___
0 0

  • Dependent
  • Independent
3.
[ b11 ] is a
b21
  • Row matrix
  • column matrix
4. Vectors
( -2 ) and ( -66 ) are linearly ___
3 99
  • Dependent
  • Independent
5. Matrix form of the following system of non-homogenous differential equations is
dy/dx = -2x +4y + et -4t
dy/dx = 3x-4y+11t
  • X' = [ -2  4 ] [ x ] + [ 1 ]et + [ -4 ]t
    3 -4 y 0 11
6. If A is a m X n matrix and A=AT which of the following must always be true?
  • m ≠ n
  • m = n
7. A matrix is defined as
A = [ a  b ], k is a constant then
c  d
  • A = kA
  • Ak = kA
  • -Ak = Ak
  • Ak ≠ kA
8. If
K = [ 1 ]
-1
is an eigenvector of the given matrix
A = [ 1  0 ] then AK is
0  1

  • 1K
  • -1K
  • 1
  • -1
9. Let
A = [ a  b ] and B = [ u v ] then A + B is
c  d x y
  • A + B = [ a + u   b + v ]
    c + x   d + y
10. The equation form of a non-homogenous system of differential equations
X' = [ -2  4 ] [ x ] + [ 1 ]et + [ -4 ]t
3 -4 y 0 11
  • X' = -2x + 4y + et - 4t,     X' = 3x - 4y + 11t