Linear algebra is essential in computer engineering, particularly in computer graphics, where it is used to manipulate and transform images. It plays a crucial role in solving systems of linear equations, relevant in areas like multiloop circuits. Additionally, graph theory and network analysis in parallel computing utilize incidence and adjacency matrices derived from linear algebra concepts. Techniques such as Fast Fourier Transform (FFT) and other signal processing methods also rely heavily on linear algebra. Understanding these applications is vital for success in the field of computer engineering.