Linear Algebra Concepts Quiz

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Questions and Answers

Which mathematical discipline deals with vectors and matrices?

  • Calculus
  • Geometry
  • Statistics
  • Linear Algebra (correct)

Which theorem states that every square matrix satisfies its own characteristic equation?

  • Pythagorean theorem
  • Euler's theorem
  • Cayley-Hamilton theorem (correct)
  • Fermat's theorem

What is an array of numbers arranged in rows and columns called?

  • Sequence
  • List
  • Array
  • Matrix (correct)

What is the process of reducing a quadratic form to canonical form by orthogonal transformation called?

<p>Diagonalization (D)</p> Signup and view all the answers

What is the nature of quadratic forms studied in linear algebra?

<p>Quadratic (A)</p> Signup and view all the answers

Which theorem states that every square matrix satisfies its own characteristic equation?

<p>Cayley-Hamilton theorem (A)</p> Signup and view all the answers

What is the process of reducing a quadratic form to canonical form by orthogonal transformation called?

<p>Orthogonalization (C)</p> Signup and view all the answers

What is the nature of quadratic forms studied in linear algebra?

<p>Algebraic nature (D)</p> Signup and view all the answers

What is a matrix with 'm' rows and 'n' columns called?

<p>Row matrix (D)</p> Signup and view all the answers

Which mathematical discipline deals with vectors and matrices?

<p>Linear algebra (B)</p> Signup and view all the answers

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