MATH 2601: WEEK 4

Topics for this week are:

• Change of basis in a general vectorspace and in the Euclidean space
• Change of the matrix under a change of basis
• Orthonormal bases and orthogonal matrices
• General rotation in three dimensions

Text coverage:

    Sub-sections 5.5-5.10 from Section 5 of the [Notes:Th]

Online resources:

• Online notes
  • [Notes:Th] Section 5 Vectorspace, coordinates with respect to a basis. Change of basis. Linear functions and their matrices.
• Answers to selected problems

Assignment for this week:

• Problems:
  • Problem set #4
• Challenge Problem: Rotating body in three dimensions on a computer screen

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Last Modified: . School of Mathematics, Georgia Institute of Technology.