By: Eunice Jean C. Patron
 |
Matrix decomposition is an area of linear algebra which is focused on expressing a matrix as a product of matrices with prescribed properties. (Photo credit: Merino et al., 2024) |
Imagine discovering an ancient treasure chest sealed with a complex dual-lock mechanism, requiring two keys that must work together in a precise way. A matrix—a rectangular array of numbers—is like a locked chest holding valuable information that helps us understand the world around us. Matrices need keys like decompositions, which break them down into simpler components while preserving their essential properties, to help us understand them better. At times, special kinds of decompositions are required to have a deeper understanding of matrices.
