1
GATE CE 2025 Set 2
MCQ (More than One Correct Answer)
+2
-0

Pick the CORRECT eigen value(s) of the matrix $[\mathrm{A}]$ from the following choices.

$$ [A]=\left[\begin{array}{ll} 6 & 8 \\ 4 & 2 \end{array}\right] $$

A
10
B
4
C
-2
D
-10
2
GATE CE 2024 Set 2
Numerical
+2
-0

Consider two matrices $A = \begin{bmatrix}2 & 1 & 4 \\ 1 & 0 & 3\end{bmatrix}$ and $B = \begin{bmatrix}-1 & 0 \\ 2 & 3 \\ 1 & 4 \end{bmatrix}$.

The determinant of the matrix $AB$ is __________ (in integer).

Your input ____
3
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+2
-0.833

What are the eigenvalues of the matrix $\begin{bmatrix} 2 & 1 & 1 \\ 1 & 4 & 1 \\ 1 & 1 & 2 \end{bmatrix}$ ?

A

1, 2, 5

B

1, 3, 4

C

-5, 1, 2

D

-5, -1, 2

4
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?
A
[1 1 −1 1]T
B
[2 0 1 2]T
C
[0 −2 1 −1]T
D
[3 1 1 2]T
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