This is an introductory course on linear algebra. Topics include:

• Systems of linear equations
• Matrix operations and invertibility
• Euclidean space and vectors
• Subspaces, linear combinations and linear span
• Linear independence, basis and coordinate vectors
• Dimension of a vector space
• Rank and nullity theorem 
• Linear approximation and least squares solution to a linear system 
• Orthogonal projection
• Eigenvalues, eigenvectors and diagonalization

Each group had to do a project on one application of linear algebra in the real world and ours was on graph theory. We were intrigued by the six degree of separation theory: that any person on the planet can be connected to other person through a chain of six acquaintances on average. So we analyzed the use of adjacency matrices to find the degree of separation in a network and looked into the science behind this theory. The answer came down to the presence of seemingly unimportant nodes that acted as bridges between different clusters of networks (aka weak ties). Finally, we explored the use of graph theory in studying terrorist networks in the 911 incident and in tracking  pandemic spread. We modelled this spread using a Python library, Pyvis.