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Recent questions tagged eigen-value
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Eigen Value Of A Matrix
For given Matrix: [ 1 2 3 1 5 1 3 1 1 ] Why does the sum of the eigen values of above matrix is the sum of diagonal elements of that matrix?
ryandany07
asked
in
Linear Algebra
Sep 4
by
ryandany07
76
views
eigen-value
matrix
engineering-mathematics
0
votes
0
answers
2
Best Open Video Playlist for Eigenvalues and Eigenvectors Topic | Linear Algebra
Please list out the best free available video playlist for Eigenvalues and Eigenvectors Topic from Linear Algebra as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO ... ones are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
asked
in
Study Resources
Aug 15
by
makhdoom ghaya
28
views
missing-videos
free-videos
video-links
go-classroom
eigen-value
1
vote
1
answer
3
GATE-2014 EC
Which one of the following statements is NOT true for a square matrix A? If A is real symmetric, the eigen values of A are the diagonal elements of it. If all the principal minors of A are positive, all the eigen values of A are also positive. My question is what is “principal minors of A” ?
samarpita
asked
in
Linear Algebra
May 9
by
samarpita
181
views
linear-algebra
gate2014-ec-1
eigen-value
1
vote
1
answer
4
Eigen Values of an orthogonal matrix will always be +1 and the modulus will also be always |1|?
Eigen Values of an orthogonal matrix will always be +1 and the modulus will also be always |1|? I have a doubt on this point .
samarpita
asked
in
Linear Algebra
May 9
by
samarpita
926
views
linear-algebra
eigen-value
matrix
2
votes
1
answer
5
GATE CSE 2022 | Question: 43
Which of the following is/are the eigenvector(s) for the matrix given below? $\begin{pmatrix} - 9 & - 6 & - 2 & - 4 \\ - 8 & - 6 & - 3 & - 1 \\ 20 & 15 & 8 & 5 \\ 32 & 21 & 7 & 12 \end{pmatrix}$ ... $\begin{pmatrix} - 1 \\ 0 \\ 2 \\ 2 \end{pmatrix}$ $\begin{pmatrix} 0 \\ 1 \\ - 3 \\ 0 \end{pmatrix}$
Arjun
asked
in
Linear Algebra
Feb 15
by
Arjun
1.5k
views
gatecse-2022
linear-algebra
eigen-value
multiple-selects
0
votes
1
answer
6
linear algebra - eigenvalues
What are the eigenvalues of the following matrix?
atulcse
asked
in
Linear Algebra
Jan 13
by
atulcse
198
views
linear-algebra
eigen-value
matrix
engineering-mathematics
0
votes
0
answers
7
made easy test series - linear algebra
If 2 and -4 are the eigenvalues of a non-singular matrix A and |A| = -8, then the eigenvalues of adj(A) are x and -y. What is the value of x+y?
atulcse
asked
in
Linear Algebra
Jan 13
by
atulcse
191
views
linear-algebra
engineering-mathematics
made-easy-test-series
eigen-value
3
votes
1
answer
8
#self doubt
How to solve this question?
samarpita
asked
in
Linear Algebra
Dec 28, 2021
by
samarpita
229
views
linear-algebra
eigen-value
1
vote
0
answers
9
Self doubt: what are eigen values of resultant matrix when add two matrices?
if eigen values of matrix A = a,b,c if eigen values of matrix B = x,y,z then is it holds every time that eigen value of A+B = a+x, b+y, c+z ? please give some reference to you answer, thankyou.
jaswanth431
asked
in
Linear Algebra
Dec 12, 2021
by
jaswanth431
122
views
engineering-mathematics
eigen-value
linear-algebra
matrix
2
votes
1
answer
10
Linear Algebra Eigenvalues
If the eigenvalues of a 3x3 matrix A are 1,2 and 3 then inverse of A is?
theakatsuki4
asked
in
Linear Algebra
Sep 16, 2021
by
theakatsuki4
2.4k
views
linear-algebra
engineering-mathematics
eigen-value
matrix
9
votes
2
answers
11
GATE CSE 2021 Set 1 | Question: 52
Consider the following matrix.$\begin{pmatrix} 0 & 1 & 1 & 1\\ 1& 0& 1 & 1\\ 1& 1 & 0 & 1 \\1 & 1 & 1 & 0 \end{pmatrix}$The largest eigenvalue of the above matrix is __________.
Arjun
asked
in
Linear Algebra
Feb 18, 2021
by
Arjun
5.7k
views
gatecse-2021-set1
linear-algebra
matrix
eigen-value
numerical-answers
2
votes
3
answers
12
NIELIT 2016 DEC Scientist B (IT) - Section B: 26
Two eigenvalues of a $3\times3$ real matrix $P$ are $(2+ \sqrt-1)$ and $3$. The determinant of $P$ is ________. $0$ $1$ $15$ $-1$
Lakshman Patel RJIT
asked
in
Linear Algebra
Mar 31, 2020
by
Lakshman Patel RJIT
541
views
nielit2016dec-scientistb-it
engineering-mathematics
linear-algebra
determinant
eigen-value
2
votes
1
answer
13
TIFR CSE 2020 | Part A | Question: 2
Let $M$ be a real $n\times n$ matrix such that for$ every$ non-zero vector $x\in \mathbb{R}^{n},$ we have $x^{T}M x> 0.$ Then Such an $M$ cannot exist Such $Ms$ exist and their rank is always $n$ Such $Ms$ exist, but their eigenvalues are always real No eigenvalue of any such $M$ can be real None of the above
Lakshman Patel RJIT
asked
in
Linear Algebra
Feb 10, 2020
by
Lakshman Patel RJIT
947
views
tifr2020
engineering-mathematics
linear-algebra
rank-of-matrix
eigen-value
7
votes
3
answers
14
ISI2015-MMA-39
The eigenvalues of the matrix $X = \begin{pmatrix} 2 & 1 & 1 \\ 1 & 2 & 1 \\ 1 & 1 & 2 \end{pmatrix}$ are $1,1,4$ $1,4,4$ $0,1,4$ $0,4,4$
Arjun
asked
in
Linear Algebra
Sep 23, 2019
by
Arjun
675
views
isi2015-mma
linear-algebra
matrix
eigen-value
2
votes
2
answers
15
ISI2015-MMA-42
Let $\lambda_1, \lambda_2, \lambda_3$ denote the eigenvalues of the matrix $A \begin{pmatrix} 1 & 0 & 0 \\ 0 & \cos t & \sin t \\ 0 & - \sin t & \cos t \end{pmatrix}.$ If $\lambda_1+\lambda_2+\lambda_3 = \sqrt{2}+1$ ... $\{ - \frac{\pi}{4}, \frac{\pi}{4} \}$ $\{ - \frac{\pi}{3}, \frac{\pi}{3} \}$
Arjun
asked
in
Linear Algebra
Sep 23, 2019
by
Arjun
587
views
isi2015-mma
linear-algebra
matrix
eigen-value
2
votes
1
answer
16
ISI2015-MMA-62
If the matrix $A = \begin{bmatrix} a & 1 \\ 2 & 3 \end{bmatrix}$ has $1$ as an eigenvalue, then $\textit{trace}(A)$ is $4$ $5$ $6$ $7$
Arjun
asked
in
Linear Algebra
Sep 23, 2019
by
Arjun
573
views
isi2015-mma
linear-algebra
matrix
eigen-value
0
votes
0
answers
17
GATE MOCK 2018
An orthogonal matrix A has eigen values 1, 2 and 4, then trace of the matrix $A^T$ is ___________
Hirak
asked
in
Linear Algebra
May 28, 2019
by
Hirak
295
views
eigen-value
linear-algebra
0
votes
1
answer
18
ISI2018-MMA-14
Let $A$ be a $3× 3$ real matrix with all diagonal entries equal to $0$. If $1 + i$ is an eigenvalue of $A$, the determinant of $A$ equals $-4$ $-2$ $2$ $4$
akash.dinkar12
asked
in
Linear Algebra
May 11, 2019
by
akash.dinkar12
1.1k
views
isi2018-mma
engineering-mathematics
linear-algebra
eigen-value
determinant
0
votes
0
answers
19
CSIR UGC NET
Hirak
asked
in
Linear Algebra
Apr 28, 2019
by
Hirak
347
views
linear-algebra
eigen-value
matrix
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