Engineering Mathematics
Linear Algebra
Marks 1Marks 2
Differential Equations
Marks 1Marks 2
Probability and Statistics
Marks 1Marks 2
Numerical Methods
Marks 1Marks 2
Vector Calculus
Marks 1Marks 2
Transform Theory
Marks 1Marks 2
Complex Variable
Marks 1Marks 2
1
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

Let $A=\left[\begin{array}{ccc}1 & 1 & 1 \\ -1 & -1 & -1 \\ 0 & 1 & -1\end{array}\right]$ and $b=\left[\begin{array}{c}1 / 3 \\ -1 / 3 \\ 0\end{array}\right]$, then the system of linear equations $A x=b$ has

A
a unique solution
B
infinitely many solutions
C
a finite number of solutions
D
no solution
2
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

Let $P=\left[\begin{array}{ccc}2 & 1 & 0 \\ -1 & 0 & 0 \\ 0 & 0 & 1\end{array}\right]$ and let $I$ be the identity matrix. Then $P^2$ is equal to

A
$2 P-I$
B
$P$
C
$I$
D
$P+I$
3
GATE EE 2024
MCQ (Single Correct Answer)
+1
-0.33

Which one of the following matrices has an inverse?

A

$$\begin{bmatrix} 1 & 4 & 8 \\ 0 & 4 & 2 \\ 0.5 & 2 & 4 \end{bmatrix}$$

B

$$\begin{bmatrix} 1 & 2 & 3 \\ 2 & 4 & 6 \\ 3 & 2 & 9 \end{bmatrix}$$

C

$$\begin{bmatrix} 1 & 4 & 8 \\ 0 & 4 & 2 \\ 1 & 2 & 4 \end{bmatrix}$$

D

$$\begin{bmatrix} 1 & 4 & 8 \\ 0 & 4 & 2 \\ 3 & 12 & 24 \end{bmatrix}$$

4
GATE EE 2024
Numerical
+1
-0

The sum of the eigenvalues of the matrix $A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}^2$ is ______ (rounded off to the nearest integer).

Your input ____
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement