1
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+2
-0.833
What are the eigenvalues of the matrix $\begin{bmatrix} 2 & 1 & 1 \\ 1 & 4 & 1 \\ 1 & 1 & 2 \end{bmatrix}$ ?
2
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+2
-0.67
Two vectors [2 1 0 3]𝑇 and [1 0 1 2]𝑇 belong to the null space of a 4 × 4 matrix of rank 2. Which one of the following vectors also belongs to the null space?
3
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+2
-0.67
Cholesky decomposition is carried out on the following square matrix [𝐴].
$\rm [A]=\begin{bmatrix}8&-5\\\ -5&a_{22}\end{bmatrix}$
Let 𝑙ij and 𝑎ij be the (i, j)th elements of matrices [𝐿] and [𝐴], respectively. If the element 𝑙22 of the decomposed lower triangular matrix [𝐿] is 1.968, what is the value (rounded off to the nearest integer) of the element 𝑎22?
4
GATE CE 2023 Set 1
MCQ (More than One Correct Answer)
+2
-0
For the matrix
$[A]= \begin{bmatrix}1&2&3\\\ 3&2&1\\\ 3&1&2 \end{bmatrix} $
which of the following statements is/are TRUE?
Questions Asked from Linear Algebra (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Levelling Traversing Theodolites and Plane Table Surveying Measurement of Area, Volume and Theory of Errors and Survey Adjustment Field Astronomy and Photogrammetric Surveying Basics of GIS, GPS and Remote Sensing Angular Measurements and Compass Survey Basic Concepts Linear Measurements and Chain Survey
Engineering Mechanics
Hydrology
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude