Register

Recent activity in Engineering Mathematics

3 votes
2 answers
1
#linear algebra
why Eigen Vectors can not be zero ?
why Eigen Vectors can not be zero ?
User Avatar
0 votes
1 answer
5
ZEAL test-series : Cardinality of relation!
I know that the number of equivalence relation is bell no. i.e 7th bell no. i.e. 877, but i am not able to find the cardinality of R! Please help!
I know that the number of equivalence relation is bell no. i.e 7th bell no. i.e. 877, but i am not able to find the cardinality of R!Please help!
User Avatar
5 votes
2 answers
6
GATE CSE 2024 | Set 2 | Question: 6
​​​​​Let $f(x)$ be a continuous function from $\mathbb{R}$ to $\mathbb{R}$ such that \[ f(x)=1-f(2-x) \] Which one of the following options is the CORRECT value of $\int_{0}^{2} f(x) d x$ ? $0$ $1$ $2$ $-1$
​​​​​Let $f(x)$ be a continuous function from $\mathbb{R}$ to $\mathbb{R}$ such that\[f(x)=1-f(2-x)\]Which one of the following options is the CORRECT value of ...
User Avatar
43 votes
4 answers
8
GATE CSE 2014 Set 1 | Question: 6
Let the function ... $\theta \in (\frac{\pi}{6},\frac{\pi}{3})$ such that $f'(\theta)\neq 0$ I only II only Both I and II Neither I nor II
Let the function$$f(\theta) = \begin{vmatrix} \sin\theta & \cos\theta & \tan\theta \\ \sin(\frac{\pi}{6}) & \cos(\frac{\pi}{6}) & \tan(\frac{\pi}{6}) & \\ \sin(\frac{\pi...
User Avatar
0 votes
1 answer
13
IIT Madras MS DSAI Written Test 2024
If the determinant and sum of eigen values of a 2 x 2 matrix are -1 and 0 then, what can you say about the rank of the given matrix? a) rank is 0 b) rank is 1 c) Insufficient information d) rank is 2
If the determinant and sum of eigen values of a 2 x 2 matrix are -1 and 0 then, what can you say about the rank of the given matrix?a) rank is 0b) rank is 1c) Insufficien...
User Avatar
48 votes
14 answers
20
GATE CSE 2021 Set 2 | Question: 24
Suppose that $P$ is a $4 \times 5$ matrix such that every solution of the equation $\text{Px=0}$ is a scalar multiple of $\begin{bmatrix} 2 & 5 & 4 &3 & 1 \end{bmatrix}^T$. The rank of $P$ is __________
Suppose that $P$ is a $4 \times 5$ matrix such that every solution of the equation $\text{Px=0}$ is a scalar multiple of $\begin{bmatrix} 2 & 5 & 4 &3 & 1 \end{bmatrix}^T...
User Avatar
0 votes
0 answers
24
ISI PCB 2023 Q3
User Avatar
1 votes
0 answers
25
ISI PCB 2023 Q2
User Avatar
102 votes
8 answers
26
GATE CSE 2014 Set 2 | Question: 47
The product of the non-zero eigenvalues of the matrix is ____ $\begin{pmatrix} 1 & 0 & 0 & 0 & 1 \\ 0 & 1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 \end{pmatrix}$
The product of the non-zero eigenvalues of the matrix is ____$\begin{pmatrix} 1 & 0 & 0 & 0 & 1 \\ 0 & 1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & ...
User Avatar
28 votes
4 answers
29
GATE CSE 2018 | Question: 16
The value of $\int^{\pi/4} _0 x \cos(x^2) dx$ correct to three decimal places (assuming that $\pi = 3.14$) is ____
The value of $\int^{\pi/4} _0 x \cos(x^2) dx$ correct to three decimal places (assuming that $\pi = 3.14$) is ____
User Avatar
6 votes
4 answers
30
GO Classes CS/DA 2025 | Weekly Quiz 3 | Fundamental Course and Linear Algebra | Question: 3
Let us consider the following three vectors $v_1, v_2,$ and $v_3$ in $\mathbb{R}^3$ ... $\left\{v_1, v_3\right\}$ are linearly independent.
Let us consider the following three vectors $v_1, v_2,$ and $v_3$ in $\mathbb{R}^3$.$$\begin{aligned}& v_1=\left(\begin{array}{lll}1 & 0 & -2\end{array}\right) \\& v_2=\l...
User Avatar
To see more, click for all the questions in this category.