Engineering Mathematics
Probability and Statistics
Marks 1Marks 2
Differential Equations
Marks 1Marks 2
Transform Theory
Marks 1Marks 2
Complex Variable
Marks 1Marks 2
Linear Algebra
Marks 1Marks 2
Vector Calculus
Marks 1Marks 2
Numerical Methods
Marks 1Marks 2
1
GATE CE 2024 Set 2
MCQ (Single Correct Answer)
+1
-0.33

The statements P and Q are related to matrices A and B, which are conformable for both addition and multiplication.

P: $(A + B)^T = A^T + B^T$

Q: $(AB)^T = B^T A^T$

Which one of the following options is CORRECT?

A

P is TRUE and Q is FALSE

B

Both P and Q are TRUE

C

P is FALSE and Q is TRUE

D

Both P and Q are FALSE

2
GATE CE 2023 Set 2
MCQ (More than One Correct Answer)
+1
-0

For the matrix

$\rm [A]=\begin{bmatrix}1&-1&0\\\ -1&2&-1\\\ 0&-1&1\end{bmatrix}$

which of the following statements is/are TRUE?

A
[𝐴]{𝑥} = {𝑏} has a unique solution
B
[𝐴]{𝑥} = {𝑏} does not have a unique solution 
C
[𝐴] has three linearly independent eigenvectors
D
[𝐴] is a positive definite matrix
3
GATE CE 2023 Set 1
MCQ (More than One Correct Answer)
+1
-0
If M is an arbitrary real n × n matrix, then which of the following matrices will have non-negative eigenvalues? 
A
M2
B
MMT
C
MTM
D
(MT)2
4
GATE CE 2022 Set 2
MCQ (More than One Correct Answer)
+1
-0

Let y be a non-zero vector of size 2022 $$\times$$ 1. Which of the following statements is/are TRUE?

A
yyT is symmetric matrix
B
yyT is invertible
C
yyT has a rank of 2022
D
yTy is an eigen value of yyT.
GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Hydrology
Irrigation
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude