An invertible matrix is a square matrix that has an inverse. Invertible matrices are same size as their inverse. Matrix multiplication by an invertible matrix yields the identity matrix. Non-square matrices (m ≠ n) do not have inverses
FFT computes Discrete Fourier Transform of sequences or its inverse. Converts signals from time/space to frequency domain. Direct computation from definition is too slow. FFT reduces complexity from 30 million to 30,000 operations
Differential equations relate unknown functions to their derivatives. A DE contains derivatives of one or more dependent variables. Differential equations have many solutions, even for simple equations
Textbook covers aerodynamics, bridge design, and construction principles. Includes topics like aircraft glide path and car performance. Covers fluid forces, buoyancy, and projectile motion. Contains applications in navigation, satellite systems, and surveying
Engine is a countable noun meaning power-producing machine. Can refer to both vehicle power and railway train pulling. Word originates from Latin ingenium meaning nature or talent
Civil engineers design, construct, and maintain infrastructure projects. They ensure projects are functional, safe, and environmentally friendly. Engineers must understand structural mechanics and materials science. They manage project lifecycle including budgeting and resource allocation