GO Mechanical
Ask us anything
Toggle navigation
GO Mechanical
Email or Username
Password
Remember
Login
Register

I forgot my password
Activity
Questions
Tags
Users
Ask
New Blog
Blogs
Exams
Recent questions and answers in Linear Algebra
0
votes
1
answer
GATE2017 ME2: 28
Consider the matrix $A=\begin{bmatrix} 50 &70 \\ 70 & 80 \end{bmatrix}$ whose eigenvectors corresponding to eigenvalues $\lambda _{1}$ and $\lambda _{2}$ are $x_{1}=\begin{bmatrix} 70 \\ \lambda_{1}50 \end{bmatrix}$ and $x_{2}=\begin{bmatrix} \lambda _{2}80\\ 70 \end{bmatrix}$, respectively. The value of $x^{T}_{1} x_{2}$ is _________.
answered
May 24, 2019
in
Linear Algebra
by
ankitgupta.1729
(
410
points)
gate2017me2
numericalanswers
0
votes
1
answer
GATE2019 ME2: 1
In matrix equation $[A] \{X\}=\{R\}$, $[A] = \begin{bmatrix} 4 & 8 & 4 \\ 8 & 16 & 4 \\ 4 & 4 & 15 \end{bmatrix} \{X\} = \begin{Bmatrix} 2 \\ 1 \\ 4 \end{Bmatrix} \text{ and} \{ R \} = \begin{Bmatrix} 32 \\ 16 \\ 64 \end{Bmatrix}$ One of the eigen values of matrix $[A]$ is $4$ $8$ $15$ $16$
answered
May 24, 2019
in
Linear Algebra
by
ankitgupta.1729
(
410
points)
gate2019me2
0
votes
1
answer
GATE2019 ME1: 1
Consider the matrix $P=\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$ The number of distinct eigenvalues $0$ $1$ $2$ $3$
answered
Feb 15, 2019
in
Linear Algebra
by
aditya_kr
(
140
points)
gate2019me1
0
votes
1
answer
GATE2018219
If $A=\begin{bmatrix}1 & 2 & 3 \\ 0 & 4 & 5 \\ 0 & 0 & 1 \end{bmatrix}$ then $\text{det}(A^{1})$ is _______ (correct to two decimal palces).
answered
Feb 22, 2018
in
Linear Algebra
by
Balaji Jegan
(
1.2k
points)
gate2018me2
numericalanswers
0
votes
0
answers
GATE201812
The rank of the matrix $\begin{bmatrix} 4 & 1 & 1 \\ 1 & 1 & 1 \\ 7 & 3 & 1 \end{bmatrix}$ is $1$ $2$ $3$ $4$
asked
Feb 17, 2018
in
Linear Algebra
by
Arjun
(
21.2k
points)
gate2018me1
0
votes
1
answer
GATE2017 ME2: 3
The determinant of a $2 \times 2$ matrix is $50$. If one eigenvalue of the matrix is $10$, the other eigenvalue is _________.
answered
Feb 14, 2018
in
Linear Algebra
by
m2n037
(
940
points)
gate2017me2
numericalanswers
0
votes
0
answers
GATE2017 ME2: 4
A sample of $15$ data is as follows: $17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3$. The mode of the data is $4$ $13$ $17$ $20$
asked
Feb 27, 2017
in
Linear Algebra
by
Arjun
(
21.2k
points)
gate2017me2
0
votes
0
answers
GATE2017 ME2: 2
The divergence of the vector $yi+xj$ is ________.
asked
Feb 27, 2017
in
Linear Algebra
by
Arjun
(
21.2k
points)
gate2017me2
numericalanswers
0
votes
0
answers
GATE2017 ME2: 1
Two coins are tossed simultaneously. The probability (upto two decimal points accuracy) of getting at least one head is _______.
asked
Feb 27, 2017
in
Linear Algebra
by
Arjun
(
21.2k
points)
gate2017me2
numericalanswers
0
votes
0
answers
GATE2017 ME1: 26
Consider the matrix $P=\begin{bmatrix} \frac{1}{\sqrt{2}} & 0 &\frac{1}{\sqrt{2}} \\ 0 & 1 & 0\\ \frac{1}{\sqrt{2}} &0 & \frac{1}{\sqrt{2}} \end{bmatrix}$ Which one of the following statements about $P$ is INCORRECT ? Determinant of P is equal to $1$. $P$ is orthogonal. Inverse of $P$ is equal to its transpose. All eigenvalues of $P$ are real numbers.
asked
Feb 27, 2017
in
Linear Algebra
by
Arjun
(
21.2k
points)
gate2017me1
0
votes
0
answers
GATE2017 ME1: 1
The product of eigenvalues of the matrix $P$ is $P=\begin{bmatrix} 2 & 0 & 1\\ 4& 3 &3 \\ 0 & 2 & 1 \end{bmatrix}$ $6$ $2$ $6$ $2$
asked
Feb 27, 2017
in
Linear Algebra
by
Arjun
(
21.2k
points)
gate2017me1
0
votes
0
answers
GATE2017 ME1: 3
Consider the following partial differential equation for $u(x, y)$, with the constant $c > 1$: $\frac{\partial u}{\partial y}+c\frac{\partial u}{\partial x}=0$ Solution of this equation is $u(x, y) = f (x+cy)$ $u(x, y) = f (xcy)$ $u(x, y) = f (cx+y)$ $u(x, y) = f (cxy)$
asked
Feb 27, 2017
in
Linear Algebra
by
Arjun
(
21.2k
points)
gate2017me1
0
votes
0
answers
GATE20132
The eigen values of a symmetric matrix are all complex with nonzero positive imaginary part. complex with nonzero negative imaginary part. real. pure imaginary.
asked
Feb 19, 2017
in
Linear Algebra
by
piyag476
(
1.4k
points)
gate2013me
engineeringmathematics
linearalgebra
eigenvaluesandeigenvectors
Help get things started by
asking a question
.
Welcome to GO Mechanical, where you can ask questions and receive answers from other members of the community.
Recent Posts
ISRO Questions Papers for Mechanical
ISRO Mechanical and RAC Previous Year Papers
How to Apply to Colleges after GATE
GATE Mechanical Syllabus
GATE Mechanical Previous Year Papers
Top Users
Aug 2020
Follow @csegate
GO
Recent questions and answers in Linear Algebra
1,314
questions
81
answers
22
comments
3,450
users