German Abitur · Mathematics

Linear Algebra and Analytic Geometry

15 practice questions, each with the answer and an explanation.

Practise Linear Algebra and Analytic Geometry now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 15 questions

  1. What is the determinant of the matrix ?
  2. What is ?
  3. What is the length of the vector ?
  4. What is the dot product of and ?
  5. Are the vectors and linearly independent?
  6. What is the distance of the origin from the plane ?
  7. What is the solution of the system , ?
  8. For which value of does the system , have infinitely many solutions?
  9. What is the cross product ?
  10. What are the eigenvalues of ?
  11. Compute the scalar product of and .
  12. Compute the scalar product of and .
  13. Compute the scalar product of and .
  14. What is the length of the vector ?
  15. What is the length of the vector ?

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