Learning Objectives

At the end of this class you should be able to

• Manually compute vector addition, vector multiplication and matrix-vector multiplication for modest size (say $n\le4$) matrices and vectors
• Use MATLAB to check your manual calculations of vector addition, vector multiplication and matrix-vector multiplication
• Manually and with MATLAB compute vector inner products.
• Define the formula for, manually compute, and use MATLAB to compute the $L_1$, $L_2$ and $L_\infty$ vector norms

By "manually" I mean using only a pencil and paper, no MATLAB, no Internet access, no textbook

Reading

Read Sections 6.1 - 6.3 (pp. 129-145) and section 6.6 - 6.6.2, (pp 152 - 153)

Look at the web pages in the Reference section of the class web site.

• Create vectors and Matrices
• Colon notation
• Create 2D plots

Download

Download

• Slides on matrix operations
• Slides on linear algebra

From the linear algebra review slides (second item, above) focus on these parts:

• Vector inner product, slides 12-15
• Vector norms, slides 18-24
• Compatibility requirement of matrix-vector products, slide 40
• Row view of the matrix vector product, slides 42-44