GATE Engineering Mathematics: Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues and eigenvectors – Previous Year Questions
6 GATE previous year questions on Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues and eigenvectors (Engineering Mathematics, Chemical Engineering) with answers and explanations, from every paper.
- GATE 2022 CH Q12 – Given matrix A = bmatrix x & 1 & 3 \\ y & 2 & 6 \\ 3 & 5 & 7 bmatrix, the ordered pair (x, y) for which (A) = 0 is
- GATE 2023 CH Q47 – If a matrix M is defined as M = bmatrix 10 & 6 \\ 6 & 10 bmatrix, the sum of all the eigenvalues of M3 is equal to (in integer).
- GATE 2024 CH Q26 – Consider a linear homogeneous system of equations Ax = 0, where A is an n n matrix, x is an n 1 vector and 0 is an n 1 null vector. Let r be the rank…
- GATE 2024 CH Q30 – Consider a matrix A = bmatrix -5 & a \\ -2 & -2 bmatrix, where a is a constant. If the eigenvalues of A are −1 and −6, then the value of a, rounded…
- GATE 2025 CH Q45 – Consider the matrix A = bmatrix 2 & 3 \\ 1 & 2 bmatrix The eigenvalues of the matrix are 0.27 and (rounded off to 2 decimal places).
- GATE 2026 CH Q23 – Which one of the following is the pair of eigenvalues of the matrix bmatrix -3 & 4 \\ 4 & 3 bmatrix ?