Mathematics & Statistics
Texas Tech University
Kent Pearce
Department of Mathematics and Statistics
Texas Tech University
Lubbock, Texas 79409-1042
Voice: (806)742-2566 x 226
FAX: (806)742-1112
Email: kent.pearce@ttu.edu
Math 2360
Linear Algebra
Fall 2009 		Leon, Steven J
Linear Algebra
Pearson

Review Exam IV
Section Content      Suggested Problems
Section 5.5
  • Orthogonal set
  • Orthonormal set
  • Theorem 5.5.1
  • Theorem 5.5.2 Coordinates computations for orthonormal bases
  • Orthogonal matrix
  • Properties of orthogonal matrices
  • Theorem 5.5.7 Projection onto a subspace with an orthonormal basis
1, 2, 3, 21
Section 5.6
  • Theorem 5.6.1 Gram-Schmidt Orthogonalization Process
  • Theorem 5.6.2 Gram-Schmidt QR Factorization
  • Theorem 5.6.3 Least squares solution for matrix A with rank n via QR factorizaton
1, 2, 3, 5, 8
Section 6.1
  • Eigenvector
  • Eignenvalue
  • Characteristic polynomial
  • Complex eigenvalues and eigenvectors of real matrices
  • Compute eigenvalues and eigenvectors
  • Product and sum of eigenvalues
  • Eigenvalues of upper triangular matrix
  • Eigenvalues of similar matrices
1, 2, 11
Section 6.3
  • Diagonalizable
  • Theorem 6.3.2
  • Arithmetic Multiplicity vs Geometric Multiplicity
1, 2




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Last modified on: Monday, 10-Aug-2015 12:47:29 CDT