Matrix Determinant, Characteristic Polynomial, Cayley–Hamilton theorem, Cramer's Rule

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Several topics related to the matrix determinants are discussed in this video, including the calculation of the determinant via the Laplace Expansion and Sarus' Rule, application of determinants, properties of the determinant operator, Minors and Co-factors, Characteristic Polynomial, the Cayley–Hamilton theorem, and the Cramer's Rule.
Relation between Determinant and Rank: 1:12
Determinant Properties: 3:49
Determinant via Laplace Expansion, Minors, and Co-Factors: 8:03
Sarus' Rule for 3x3 Determinants: 25:55
Cayley-Hamilton Theorem: 32:31
Cramer's Method for Solving a Set of Linear Equations: 48:14
  1. Engineering Educator Academy
  2. determinant by the the Laplace Expansion
  3. application of determinants
  4. properties of the determinant operator
  5. matrix Co-factor
  6. Characteristic Polynomial of a matrix
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