 
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
