Module: Vectors and Linear combinations

Learning Outcomes

Vectors and Linear Combinations

• You are comfortable with the formal definition of vectors in \({\mathbb R}^n\)
• You understand addition, scaling and linear combinations of vectors
• You recall the parallelogram law of addition/subtractions
• You can visualize simple sets of linear combinations geometrically (in 2 and 3 dimensions)
• You understand how to compute the dot product and lengths of vectors
• You understand how the dot product between vectors correlates with angle between them (in 2 and 3 dimensions)
• You know how to write a system of linear equations that checks if a vector can be written as a linear combination of other vectors.
• You can write code in python+numpy to do all the above

Readings

Experiential Learning

Assessments