Cayley-Hamilton Theorem
Curriculum and historical examination lineage for Cayley-Hamilton Theorem under Unit 1 (Matrices and Linear Algebra) of Calculus And Linear Algebra (21MAB101T) at SRMIST.
Historical appearance distribution across SRMIST Formative Tests (CT1, CT2) and University End Semester examinations.
Factual marks weightage of questions asked on this topic in historical examinations.
Question templates that recur across multiple examination cycles with similar conceptual stems.
“(a) Find the eigen values and eigen vectors of the matrix $\begin{bmatrix} 1 & 0 & -1 \\ 1 & 2 & 1...”
“Find the inverse of $A = \begin{pmatrix} 6 & -2 & 2 \\ -2 & 1 & -1 \\ 2 & -1 & 2 \end{pmatrix}$...”
“Verify Cayley-Hamilton theorem for $A = \begin{pmatrix} 1 & 2 \\ 2 & -1 \end{pmatrix}$ and find...”
“Using Cayley Hamilton theorem, find the inverse of \(A = \begin{bmatrix} 7 & 3 \\ 2 & 6...”
“Verify Cayley-Hamilton theorem for the matrix and find its inverse.”
Representative historical questions extracted directly from SRMIST examination papers.
Verify Cayley-Hamilton theorem for $A = \begin{pmatrix} 1 & 2 \\ 2 & -1 \end{pmatrix}$ and find $A^4$.
Using Cayley Hamilton theorem, find the inverse of \(A = \begin{bmatrix} 7 & 3 \\ 2 & 6 \end{bmatrix}\). [4]
Verify Cayley-Hamilton theorem for the matrix and find its inverse.
Verify Cayley-Hamilton theorem for the matrix and find $A^4$.
(a) Find the eigen values and eigen vectors of $A = \begin{pmatrix} 1 & 1 & 3 \\ 1 & 5 & 1 \\ 3 & 1 & 1 \end{pmatrix}$. --- OR --- 21. Find the inverse of $A = \begin{pmatrix} 6 &...
Examinations where questions for Cayley-Hamilton Theorem have appeared.
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