Basic Linear Algebra
Extra Information

MAKE-UP EXAM

Exam Date: June 6, Tuesday at 12:30

 

 

 

 

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A C T I V I T I E S

Week Topics Covered
1 1 Linear Equations and Matrices
1.1 Systems of Linear Equations
2 1.2 Matrices
1.3 Matrix Multiplication
1.4 Algebraic Properties of Matrix Operations
3 2 Solving Linear Systems
2.1 Echelon Form of a Matrix
2.2 Solving Linear Systems
4 2.3 Elementary Matrices; Finding A-1
2.4 Equivalent Matrices
5 3 Determinants
3.1 Definition
3.2 Properties of Determinants
6 3.3 Cofactor Expansion
3.4 Inverse of a Matrix
7 3.5 Other Applications of Determinants
8 4 Real Vector Spaces
4.1 Vectors in the Plane and in 3-Space
4.2 Vector Spaces
9 4.3 Subspaces
4.4 Span
4.5 Linear Independence
10 4.6 Basis and Dimension
4.9 Rank of a Matrix
11 4.7 Homogeneous Systems
4.8 Coordinates and Isomorphisms
12 5 Inner Product Spaces
5.1 Length and Direction in R2 and R3
5.4 Gram-Schmidt Process
13

6 Linear Transformations and Matrices
6.1 Definition and Examples
6.2 Kernel and Range of a Linear Transformation

14 6.3 Matrix of a Linear Transformation