Canonical Form or Sum of Squares Form MCQ

Test your knowledge with important Canonical Form or Sum of Squares Form MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30+ more Canonical Form or Sum of Squares Form MCQs on Bissoy. Bissoy App

• 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