Important Concepts in Linear Algebra

• Introduction to Matrix
• Matrix Multiplication
• Inverse of a Matrix
• Introduction to Linear Transformations
• Subspaces of $ R^n $
  • Definition of Subspace
  • Definition of Kernel
  • Definition of Image
• What is the Rank Nullity Theorem?
• When are vectors Linearly Independent
• When do vectors form a basis?
• Orthogonality
  • When are vectors orthogonal?
• Determinants
• What is a determinant
• What are some properties of the determinant?

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