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Summary: LINEAR ALGEBRA (MATH 317H)REVIEW FOR TEST #2
Topics covered
Chapter 2: Systems of linear equations
- Solution of a linear system, Echelon and reduced Echelon form
- Inverse of a matrix, Computation by row reduction
- Dimension
- General solution of a linear system
- fundamental subspaces (theory), rank theorem
- Representation of a linear transformation in arbitrary bases. Change of
basis formula
Chapter 3: Determinants
- Similar matrices, Determinants - Introduction and properties
- Computation of the determinant
- Determinant of the transpose and of a product, Determinant of Elementary
matrices, permutations
- Determinants- Formal definition, Existence and uniqueness of the determi-
nant, Cofactor expansion, cofactor formula for the inverse
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2 LINEAR ALGEBRA (MATH 317H)REVIEW FOR TEST #2
Practice exam
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