Ordinary Differential Equations
The null space of a matrix is the set of all vectors that, when multiplied by the matrix, yield the zero vector. This concept is crucial in understanding the solutions to linear systems, especially when examining the behavior of eigenvalues and eigenvectors in solving differential equations. The null space provides insights into the structure of solutions and helps identify whether a system has unique or infinite solutions based on the properties of the matrix involved.
congrats on reading the definition of Null Space. now let's actually learn it.