Solve real-world problems using the foundational concept of matrices and explain where those problems might arise.

Recognize what a matrix represents in n-dimensional space and how transformations act in that space

Identify key properties of any system of equations, such as independence, basis, rank, and more, and what they mean for the overall system.

Demonstrate your understanding of projections in lower dimensions, while being able to carry out higher dimension projections for real-world problems