Eigenvalues and Eigenvectors
Curriculum and historical examination lineage for Eigenvalues and Eigenvectors 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.
“Find the Eigen values of the matrix $A = \begin{pmatrix} 1 & 2 \\ 5 & 4 \end{pmatrix}$ and that of...”
“Find the eigenvalues and eigenvectors of the matrix.”
“What are the eigen values of A^3, if A = \begin{pmatrix} 1 & 3 & 2 \\ 0 & -2 & 1 \\ 0 & 0 & -1...”
“The characteristic equation of the matrix A = \begin{pmatrix} 1 & 2 \\ 4 & 3 \end{pmatrix} is (A)...”
“If $A = \begin{bmatrix} 2 & 5 & 1 \\ 0 & 4 & 6 \\ 0 & 0 & 1 \end{bmatrix}$, then the eigen values...”
Representative historical questions extracted directly from SRMIST examination papers.
Find the Eigen values of the matrix $A = \begin{pmatrix} 1 & 2 \\ 5 & 4 \end{pmatrix}$ and that of $A - 3I$.
Find the sum and product of the eigen values of \(\begin{bmatrix} 2 & 1 & 1 \\ 1 & 2 & 1 \\ 0 & 0 & 1 \end{bmatrix}\). [4]
Find the eigenvalues and eigenvectors of the matrix.
Find the eigenvalues and corresponding properties. (a) Eigen values of Matrix A are -1, -3, 2. (b) Let $A = \begin{pmatrix} 1 & 1 & 2 \\ 1 & 3 & 1 \\ 2 & 1 & 6 \end{pmatrix}$.
The eigen values of A^3 if A = \begin{pmatrix} 1 & 2 & 3 \\ 0 & 2 & -7 \\ 0 & 0 & 3 \end{pmatrix} (A) 1^3, 2^3, 3^3 (B) 1, 2, 3 (C) 1, \frac{1}{2^3}, \frac{1}{3^3} (D) 1,...
Examinations where questions for Eigenvalues and Eigenvectors have appeared.
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