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MAT 233 - Linear Algebra - S12
Transcript of MAT 233 - Linear Algebra - S12
in Linear Algebra Linear Equations in Linear Algebra Solution Method:
Gaussian Elimination The Invertible Matrix Theorem Properties, Sets, and Factorizations
Linear Transformations associated with and Determinants Calculation
Cofactors det A=0
iff A is
Area & Volume Applications of
Stretching or Shrinking
Linear Transformations Properties Chapters 1-2 Chapters 3-4 Chapters 1-2 Chapter 3 Chapter 3 Vector Space Chapter 4 Chapter 4 Chapter 4 Fundamental Subspaces Basis Dimension Rank (30,17) Chapters 3-4 The Invertible Matrix Theorem (Continued...) Eigenvalues & Eigenvectors Diagonalization
A=PDP -1 Orthogonality
Orthonormality Inner Product Norm 1. Orthogonal Vectors
2. Orthogonal Set
3. Orthogonal Basis Chapter 6 Chapter 6 Orthogonal
Complement diasake56(artist). (2010). Hover Board [Digital Media, Paiting]. Retrieved: February 3, 2012, from: http://diasake56.deviantart.com/art/Hover-Board-169484056 openclipart.com (artist). Magic Carpet (Clipart). Retrieved: February 3, 2012, from: http://clipartist.net/tag/magic-carpet/ Broomstick (Clipart). Retrieved: February 3, 2012 from: Microsoft Word 2011. Orthogonal
Problems Orthogonal Projection
on Subspaces Orthogonal Projection
on Vectors Of Diagonalizable
Matrices Everything is laid out in order of the class, but feel free to move off the path! MAT 233
Spring 2012 Built for Updated: February 4, 2013