GO Mechanical
Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Questions
Tags
Users
Ask
New Blog
Blogs
Exams
Dark Mode
GATE ME 2012 | Question: 47
Andrijana3306
asked
in
Linear Algebra
Mar 20, 2018
recategorized
Mar 3, 2021
by
Lakshman Patel RJIT
0
votes
0
votes
$x+2y+z=4$
$2x+y+2z=5$
$x-y+z=1$
The system of algebraic equations given above has
a unique solution of $x=1$, $y=1$ and $z=1$
only the two solutions of $(x=1, y=1, z=1)$ and $(x=2, y=1, z=0)$
infinite number of solutions
no feasible solution
gateme-2012
linear-algebra
system-of-equations
Andrijana3306
asked
in
Linear Algebra
Mar 20, 2018
recategorized
Mar 3, 2021
by
Lakshman Patel RJIT
by
Andrijana3306
1.5k
points
●
1
●
37
●
65
●
1
●
37
●
65
answer
share this
share
0 Comments
Please
log in
or
register
to answer this question.
0
Answers
Answer:
C
Related questions
0
answers
0
votes
0
votes
Arjun
asked
in
Linear Algebra
Feb 9, 2019
GATE2019 ME-1: 26
The set of equations $\begin{array}{l} x+y+z=1 \\ ax-ay+3z=5 \\ 5x-3y+az=6 \end{array}$ has infinite solutions, if $a=$ $-3$ $3$ $4$ $-4$
Arjun
asked
in
Linear Algebra
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set1
linear-algebra
system-of-equations
0
answers
0
votes
0
votes
Arjun
asked
in
Linear Algebra
Feb 24, 2017
GATE2016-1-1
The solution to the system of equations $\begin{bmatrix} 2 & 5\\-4 &3 \end{bmatrix}\begin{bmatrix} x\\y \end{bmatrix}=\begin{bmatrix} 2\\ -30 \end{bmatrix}$ is $6,2$ $-6,2$ $-6,-2$ $6,-2$
Arjun
asked
in
Linear Algebra
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set1
linear-algebra
matrices
system-of-equations
0
answers
0
votes
0
votes
Andrijana3306
asked
in
Linear Algebra
Mar 20, 2018
GATE ME 2012 | Question: 36
For the matrix $A = \begin{bmatrix} 5 & 3 \\ 1 & 3 \end{bmatrix}$, ONE of the normalized eigen vectors is given as $\begin{pmatrix} \dfrac{1}{2} \\ \dfrac{\sqrt{3}}{2} \end{pmatrix} \\$ ... $\begin{pmatrix} \dfrac{1}{\sqrt{5}} \\ \dfrac{2}{\sqrt{5}} \end{pmatrix}$
Andrijana3306
asked
in
Linear Algebra
Mar 20, 2018
by
Andrijana3306
1.5k
points
gateme-2012
linear-algebra
eigen-values
eigen-vectors
1
answer
0
votes
0
votes
go_editor
asked
in
Linear Algebra
Mar 1, 2021
GATE Mechanical 2021 Set 2 | Question: 1
Consider an $n \times n$ matrix $\text{A}$ and a non-zero $n \times 1$ vector $p.$ Their product $Ap=\alpha ^{2}p$, where $\alpha \in \Re$ and $\alpha \notin \left \{ -1,0,1 \right \}$. Based on the given information, the eigen value of $A^{2}$ is: $\alpha$ $\alpha ^{2}$ $\surd{\alpha }$ $\alpha ^{4}$
go_editor
asked
in
Linear Algebra
Mar 1, 2021
by
go_editor
5.0k
points
gateme-2021-set2
linear-algebra
matrices
eigen-values
0
answers
0
votes
0
votes
go_editor
asked
in
Linear Algebra
Mar 1, 2021
GATE Mechanical 2021 Set 2 | Question: 27
Let the superscript $\text{T}$ represent the transpose operation. Consider the function $f(x)=\frac{1}{2}x^TQx-r^Tx$, where $x$ and $r$ are $n \times 1$ vectors and $\text{Q}$ is a symmetric $n \times n$ matrix. The stationary point of $f(x)$ is $Q^{T}r$ $Q^{-1}r$ $\frac{r}{r^{T}r}$ $r$
go_editor
asked
in
Linear Algebra
Mar 1, 2021
by
go_editor
5.0k
points
gateme-2021-set2
linear-algebra
matrix-algebra
Welcome to GO Mechanical, where you can ask questions and receive answers from other members of the community.
Recent Posts
GATE Mechanical Engineering Syllabus for GATE 2023 (Updated 2020)
ISRO Questions Papers for Mechanical
ISRO Mechanical and RAC Previous Year Papers
How to Apply to Colleges after GATE
GATE Mechanical Syllabus
Top Users
Dec 2022
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy