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Linear Algebra · Algebra

Vector Spaces and Subspaces

The axioms of a vector space distill what makes ℝⁿ work and apply equally to function spaces, polynomial spaces, and matrix spaces.

WHAT STUDENTS WILL LEARN
✓Define vector spaces by axioms
✓Identify column space, null space, row space
✓Define basis and dimension
✓Apply the rank-nullity theorem
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