Cayley-Hamilton Theorem — Study Resources & PYQs
Cayley-Hamilton theorem and its applications to matrices.
- Estimated study time: 30 minutes
Study resources
- Cayley–Hamilton Theorem + Inverse by C–H (Article) — Statement (every square matrix satisfies its own characteristic equation), proof idea and using it to find higher powers and the inverse.
- Cayley–Hamilton Theorem (Article) — Reference for the theorem with multiple proofs and the link to diagonalisable matrices and the minimal polynomial.
Cayley-Hamilton Theorem previous year questions
- (a) Verify Cayley-Hamilton theorem for the matrix $\begin{bmatrix} 2 & -1 & 1 \\ -1 & 2 & -1 \\ 1 & -1 & 2 \end{bmatrix}$. (b) Diagonalize the matrix $\begin{b…
- (a) Verify Cayley-Hamilton theorem for the matrix $\begin{bmatrix} 2 & -1 & 1 \\ -1 & 2 & -1 \\ 1 & -1 & 2 \end{bmatrix}$. (b) Diagonalize the matrix $\begin{b…
Taught in these subjects
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-1 — BMAT11 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu