Homework for VECTORS and MATRICES

1. Arithmetic with complex numbers

Know how to add, subtract, multiply, and divide complex numbers.

Examples: From http://linear.ups.edu/html/section-CNO.html, read Example ACN, Example CSCN, and Example MSCN.
Use the following example and create your own problems:

Note: z.abs() gives the norm (or modulus) of z.

2. Dot Product and Length

Know how to compute the dot product of two vectors and the length (or norm) of a vector.

Examples: From http://linear.ups.edu/html/section-VO.html, read Example VA, Example CVSM, Sage VO, and Example MSCN.
Homework: From http://linear.ups.edu/html/section-VO.html, do Exercises VO.C10, VO.C11, VO.C12, VO.C13, and VO.C14.
Use the following example and create your own problems:

3. Matrix operations

Know how to scale, add, subtract, and multiply matrices.

Examples: From http://linear.ups.edu/html/section-MO.html, read Example MA, Example MSM, and Sage MS.
Homework: From http://linear.ups.edu/html/section-MO.html, do Exercises MO.C10 Parts 1, 2, 5, and 6, MO.C11, MO.C12, and MO.C13.
Use the following example and create your own problems: