7 lessons covering matrices, matrix operations, determinants, eigenvalues, eigenvectors, vector spaces, and linear transformations — each with theory, worked examples, practice questions, and a downloadable worksheet.
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A matrix is a rectangular array of numbers organized into rows and columns — thi...
Beyond simple addition, matrices can be multiplied together and even 'divided' t...
The determinant condenses an entire square matrix into a single number that reve...
An eigenvalue tells you how much a special direction gets stretched or shrunk wh...
Once you know a matrix's eigenvalues, eigenvectors show you the exact directions...
A vector space is a collection of objects (vectors) that can be added together a...
A linear transformation is a function between vector spaces that preserves addit...