Diagonal Matrices and Reduction to Diagonal Form
The dream shape: the friendliest matrix there is, and how to squeeze any square matrix into it.
What this unit covers
Unit 5: Matrix Operations, Determinants and Eigenvalues
- 1 Matrix Multiplication and Its PropertiesRows meet columns: one row-times-column rule builds every entry, and the order you multiply in matters. · 7 min
- 2 Determinants and Cofactor ExpansionA one-number health check that says whether a matrix can be undone, and checks your row operations for free. · 3 min
- 3 Diagonal Matrices and Reduction to Diagonal FormThe dream shape: the friendliest matrix there is, and how to squeeze any square matrix into it. · 6 min
- 4 Eigenvalues, Eigenvectors and DiagonalisationStretch dough in one direction and some lines never turn — those are the directions a matrix secretly respects. · 8 min