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MTH 213 Linear Algebra

ND2 levelSciences25 topics

MTH 213 covers 25 topics. StudyPath paces them into daily study sessions that finish before your exam date, with practice questions and worked answers for each one.

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Course outline

The topics this course covers, in teaching order.

  1. Review of matrices
  2. Types of matrices
  3. Algebra of matrices
  4. Rank of a matrix
  5. Determinants of matrices
  6. Properties of determinants
  7. Transpose, adjugate and cofactors
  8. Inverse of a matrix
  9. Systems of linear equations
  10. Elementary row operations
  11. Solving linear equations using matrices
  12. Gaussian elimination
  13. Cramer's rule
  14. Vector definitions and representation
  15. Position and limit vectors
  16. Scalar multiples and parallel vectors
  17. Vector modulus in 2D and 3D
  18. Parallelogram law of vectors
  19. Vector components and orthogonal resolution
  20. Coplanar vectors and resultant forces
  21. Relative velocity
  22. Scalar product and direction ratios
  23. Cross product and angle between vectors
  24. Eigenvalues
  25. Eigenvectors

A sample from this course

One topic, as StudyPath teaches it.

Review of matrices

Review of matrices focuses on the basic types of matrices, their operations, and the properties that are frequently tested in the NUC CCMAS, NBTE, and NCCE exams. Mastering matrix addition, scalar multiplication, transposition, and multiplication, as well as recognising special matrices (identity, zero, diagonal, symmetric, skew‑symmetric) is essential for solving algebraic and applied problems efficiently.

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