StudyPath

MAT 322 Linear Algebra

NCE3 levelSciences9 topics

MAT 322 covers 9 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. Matrices: definition, equality of matrices, addition, scalar multiplication, multiplication
  2. Determinats:- up to 2x2 matrices. Application of matrices to solutions of linear
  3. Determinants
  4. Vector space over the real field, sub-space, linear independence, basis and dimension
  5. Linear transformations and their representational matrices; range, null space, rank,
  6. System of linear equations, change of basis, equivalence and similarities
  7. Eigen values (latent roots) and given vectors (latent vectors)
  8. Minimum and characteristic polynomials of a linear transformation (matrix)
  9. Cayley – Hamilton theorem

A sample from this course

One topic, as StudyPath teaches it.

Matrices: definition, equality of matrices, addition, scalar multiplication, multiplication

This topic introduces matrices as rectangular arrays of numbers and explains the basic operations students must master: equality, addition, scalar multiplication, and multiplication. For the exam, the key is not only knowing the rules but also knowing when an operation is allowed, especially the order conditions for addition and multiplication.

What you get for MAT 322