Eigen Values and Eigen Vectors MCQ

Test your knowledge with important Eigen Values and Eigen Vectors MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30+ more Eigen Values and Eigen Vectors MCQs on Bissoy. Bissoy App

• The determinant of the matrix whose eigen values are 7, 1, 9 is given by ________
  ক

  7

  খ

  63

  গ

  9

  ঘ

  17
• Which of the following is true for matrices?
  ক

  (AB)-1 = B-1A-1

  খ

  (AT) = A

  গ

  AB = BA

  ঘ

  A*I = I
• Which among the following does not belong to main types of integrals?
  ক

  Indefinite Integral

  খ

  Proper Definite Integral

  গ

  Improper Definite Integral

  ঘ

  Real Integral
• Which one of the following is not a criterion for linearity of an equation?
  ক

  The dependent variable y should be of second order

  খ

  The derivatives of the dependent variable should be of second order

  গ

  Each coefficient does not depend on the independent variable

  ঘ

  Each coefficient depends only on the independent variable
• Which among the following is not a type of quadratic form?
  ক

  Positive Semi-definite

  খ

  Negative definite

  গ

  Partial definite

  ঘ

  Indefinite
• The Canonical form is also known as ‘sum of squares’ form.
  ক

  False

  খ

  True
• Write the expression for spur of a matrix for a 3×3 matrix whose entries are in the form of aij.
  ক

  a11+ a12+a13

  খ

  a11+ a21+a31

  গ

  a12+ a22+a32

  ঘ

  a11+ a22+a33
• If A is a matrix, such that, Ak = 0, for positive integer k, then, A is known as Nilpotent matrix.
  ক

  True

  খ

  False
• Signature of a quadratic form is the difference between the positive and negative terms in the canonical form.
  ক

  True

  খ

  False
• Which of the following is not a condition for a given real nonsingular quadratic form, Q = XTAX, to be a negative definite quadratic form?
  ক

  The number of positive square terms in the quadratic form is equal to zero

  খ

  The rank of the matrix A is equal to the number of variables in the quadratic form (index)

  গ

  All the eigen values of A are negative

  ঘ

  The rank and index are equal