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Recent questions tagged eigen-value
5
votes
1
answer
91
Matrix Eigen Value
A 3× 3 real matrix has an eigen value i, then its other two eigen values can be (A) 0, 1. (B) -1, i. (C) 2i, -2i. (D) 0, -i.
Lakshman Patel RJIT
asked
in
Mathematical Logic
Nov 14, 2017
by
Lakshman Patel RJIT
1.2k
views
engineering-mathematics
linear-algebra
matrix
eigen-value
0
votes
0
answers
92
Eigen vector correspond Eigen value 1
hem chandra joshi
asked
in
Mathematical Logic
Nov 14, 2017
by
hem chandra joshi
611
views
engineering-mathematics
eigen-value
1
vote
0
answers
93
Eigen values confusing question
Parshu gate
asked
in
Computer Networks
Nov 13, 2017
by
Parshu gate
112
views
eigen-value
linear-algebra
engineering-mathematics
1
vote
2
answers
94
eigen values and determinents
Let A be a 4 × 4 matrix with real entries such that -1, 1, 2, -2 are its eigen values. If B = A4 - 5A2 + 5I where I denotes 4 × 4 identity matrix, then which of the following is correct? (det(X) represents determinant of X) (A) det(A + B) = 0 (B) det(B) = 1 (C) trace of A + B is 4 (D) all of these
Parshu gate
asked
in
Linear Algebra
Nov 11, 2017
by
Parshu gate
1.1k
views
eigen-value
engineering-mathematics
linear-algebra
1
vote
0
answers
95
Eigenvector doubt
I have query if after putting eigen values in characteristic equation I got two row zero thn what will correspond eigen vector?
hem chandra joshi
asked
in
Engineering Mathematics
Nov 11, 2017
by
hem chandra joshi
152
views
eigenvector
eigen-value
3
votes
1
answer
96
Maths: Linear Algebra
Any shortcut?
Manu Thakur
asked
in
Linear Algebra
Nov 6, 2017
by
Manu Thakur
413
views
engineering-mathematics
linear-algebra
eigen-value
2
votes
1
answer
97
Eigen Values of a skew Symmetric Matrix
The eigen values of a skew-symmetric matrix are (a) Always zero (c) Either zero or pure imaginary (b) always pure imaginary (d) always real if a matrix is skew symmetric then the elements in diagonal should be zero. A= |0 q| |r 0| Now solving for k |A ... we get q=0, r=0, how does this tell us about the eigen values k PS: can't use lambda, so im using k here
Salazar
asked
in
Mathematical Logic
Oct 20, 2017
by
Salazar
5.7k
views
linear-algebra
engineering-mathematics
eigen-value
5
votes
1
answer
98
GATE CE 2005 linear algebra
Consider the system of linear equations A(n*n)X(n*1) = λ(n*1) where λ is a scalar. Let (λi , Xi) be an eigen pair of an eigen value and its corresponding eigen vector for a real matrix A. Let I be a n*n unit matrix. Which one of the following statements is not ... transpose= A's inverse ) , then mod(λi)=1 for all i. (D) if (A's transpose = A) , then λi is real for all i
vishwajit_vishnu
asked
in
Linear Algebra
Sep 1, 2017
by
vishwajit_vishnu
1.6k
views
engineering-mathematics
eigen-value
linear-algebra
usergate2005
1
vote
0
answers
99
http://ee.gateoverflow.in/212/gate2016-1-2
Consider a $3\times 3$ matrix with every element being equal to 1 , its only non-zero eigenvalue is ....? \begin{bmatrix} 1 & 1 &1 \\ 1 &1 &1 \\ 1 &1 &1 \end{bmatrix}$ now i solve in simple way ..directly $\ ... but i got different eigen values why this happened ... i missed something ??
sid1221
asked
in
Linear Algebra
Aug 26, 2017
by
sid1221
366
views
eigen-value
1
vote
2
answers
100
eigen value
set2018
asked
in
Mathematical Logic
Aug 3, 2017
by
set2018
352
views
eigen-value
linear-algebra
engineering-mathematics
1
vote
0
answers
101
linear algebra
set2018
asked
in
Linear Algebra
Aug 1, 2017
by
set2018
1.1k
views
engineering-mathematics
linear-algebra
eigen-value
2
votes
1
answer
102
Calculate Eigen Vector And Eigen Value
This matrix is singular with rank one. Find three $λ$’s and three eigenvectors. $\begin{bmatrix}1\\2 \\1 \end{bmatrix}$ $\begin{bmatrix}2&1 &2 \end{bmatrix}$ = $\begin{bmatrix}2 & 1 &2\\4 & 2 & 4\\2 & 1 &2\end{bmatrix}$
Shubhanshu
asked
in
Linear Algebra
Jul 24, 2017
by
Shubhanshu
1.3k
views
engineering-mathematics
linear-algebra
eigen-value
3
votes
1
answer
103
Find the last row of the Matrix
For the first one I have got -28 and 11 as the answer but for the matrix C I am not able to get the value of element c32. c31 = c33 = 6.
Shubhanshu
asked
in
Linear Algebra
Jul 24, 2017
by
Shubhanshu
449
views
engineering-mathematics
linear-algebra
matrix
eigen-value
2
votes
1
answer
104
State true/ false (with reason) For Linear Algebra
Q1> Is it possible to have no Eigen vector corresponding to an Eigen value. Q2> Rank of a matrix is equal to the number of non-zero Eigen values that matrix has. {Explain with reason and counter example.}
Shubhanshu
asked
in
Linear Algebra
Jul 24, 2017
by
Shubhanshu
306
views
engineering-mathematics
linear-algebra
eigen-value
3
votes
1
answer
105
Gate EE 2014 Eigen values
A system matrix is given as follows. The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is _______
rahul sharma 5
asked
in
Linear Algebra
Jul 2, 2017
by
rahul sharma 5
2.6k
views
engineering-mathematics
eigen-value
linear-algebra
0
votes
1
answer
106
[Gate IN 2016- Set A] Linear algebra,Eigen values
If we solve this we will get total 4 eigen vectors,but as we know that this is of 2 degree matrix so only 2 will exist.So can i say that from these four pairs by using nay 2 ,i can derive the other?If yes,then how?
rahul sharma 5
asked
in
Linear Algebra
Jul 2, 2017
by
rahul sharma 5
784
views
linear-algebra
engineering-mathematics
eigen-value
4
votes
1
answer
107
Gate ME 2016: Eigen value
The condition for which the eigenvalues of the matrix $A=\begin{bmatrix} 2 & 1\\ 1 &k \end{bmatrix}$ are positive is $k > \frac{1}{2}$ $ k > −2$ $ k > 0$ $k< \frac{-1}{2}$
rahul sharma 5
asked
in
Linear Algebra
Jun 26, 2017
by
rahul sharma 5
3.4k
views
eigen-value
linear-algebra
9
votes
2
answers
108
Mathematics: Gate 2016 EE set-2
A 3X3 matrix P is such that, P^3 = P. Then the eigenvalues of P are: 1) 1, 1, -1 2) 1, 0.5 + j0.866, 0.5 - j0.866 3) 1, -0.5 + j0.866, -0.5 - j0.866 4) 0, 1, -1
Shubhanshu
asked
in
Linear Algebra
May 19, 2017
by
Shubhanshu
4.9k
views
gate2016-ee-2
linear-algebra
eigen-value
3
votes
1
answer
109
Test by Bikram | Mock GATE | Test 4 | Question: 25
The Eigen values of a $2 \times 2$ matrix $’A’$ are $1, -2$, and its Eigen vectors $x_1$ and $x_2$ respectively. The Eigen values and Eigen vectors of the matrix $A^{2} - 3A + 4I$ (where $I$ is the identity matrix) will be: $2,14$ and $ x_1,x_2$ $2,14$ and $x_1+x_2 , x_1- x_2$ $2,0$ and $x_1,x_2$ $2,0$ and $x_1+x_2, x_1- x_2$
Bikram
asked
in
Linear Algebra
May 14, 2017
by
Bikram
402
views
tbb-mockgate-4
eigen-value
linear-algebra
engineering-mathematics
5
votes
1
answer
110
Test by Bikram | Mock GATE | Test 4 | Question: 20
Consider the $5\times 5$ matrix below : $\begin{bmatrix} 1&0 &0 &0 &1 \\ 0& 1 & 1 & 1 & 0\\ 0& 1 &1 &1 &0 \\ 0& 1 &1 &1 &0 \\ 1 & 0 & 0 & 0 & 1 \end{bmatrix}$ The product of the non-zero eigenvalues of the matrix is _____.
Bikram
asked
in
Linear Algebra
May 14, 2017
by
Bikram
470
views
tbb-mockgate-4
numerical-answers
engineering-mathematics
linear-algebra
matrix
eigen-value
1
vote
3
answers
111
ISRO 2015- Eigen Values [mech]
$\begin{bmatrix} 4 & 1 \\ 1& 4 \end{bmatrix}$ Eigen values of the matrix are: a) 3,-3 b) -3, -5 c) 3, 5 d) 5 ,0
sh!va
asked
in
Linear Algebra
Mar 7, 2017
by
sh!va
535
views
engineering-mathematics
isro-mech
linear-algebra
eigen-value
0
votes
2
answers
112
ISRO 2006-ECE Eigen Values
The Eigen values of are: a) 6, 1 b) 6, -1 c) -6, 1 d) -6,-1
sh!va
asked
in
Linear Algebra
Mar 4, 2017
by
sh!va
329
views
isro-ece
engineering-mathematics
linear-algebra
eigen-value
0
votes
4
answers
113
ISRO 2012- ECE Matrices
The Eigen values of matrix are: a) ± cos∝ b) ± sin ∝ c) tan ∝ & cot ∝ d) cos ∝ ± sin ∝
sh!va
asked
in
Linear Algebra
Feb 28, 2017
by
sh!va
371
views
engineering-mathematics
isro-ece
isro2012-ece
linear-algebra
eigen-value
39
votes
6
answers
114
GATE CSE 2017 Set 2 | Question: 52
If the characteristic polynomial of a $3 \times 3$ matrix $M$ over $\mathbb{R}$ (the set of real numbers) is $\lambda^3 – 4 \lambda^2 + a \lambda +30, \quad a \in \mathbb{R}$, and one eigenvalue of $M$ is $2,$ then the largest among the absolute values of the eigenvalues of $M$ is _______
Madhav
asked
in
Linear Algebra
Feb 14, 2017
by
Madhav
11.4k
views
gatecse-2017-set2
engineering-mathematics
linear-algebra
numerical-answers
eigen-value
28
votes
2
answers
115
GATE CSE 2017 Set 2 | Question: 22
Let $P = \begin{bmatrix}1 & 1 & -1 \\2 & -3 & 4 \\3 & -2 & 3\end{bmatrix}$ and $Q = \begin{bmatrix}-1 & -2 &-1 \\6 & 12 & 6 \\5 & 10 & 5\end{bmatrix}$ be two matrices. Then the rank of $ P+Q$ is ___________ .
Arjun
asked
in
Linear Algebra
Feb 14, 2017
by
Arjun
8.0k
views
gatecse-2017-set2
linear-algebra
eigen-value
numerical-answers
64
votes
4
answers
116
GATE CSE 2017 Set 1 | Question: 31
Let $A$ be $n\times n$ real valued square symmetric matrix of rank $2$ with $\sum_{i=1}^{n}\sum_{j=1}^{n}A^{2}_{ij} = 50.$ Consider the following statements. One eigenvalue must be in $\left [ -5,5 \right ]$ The eigenvalue ... than $5$ Which of the above statements about eigenvalues of $A$ is/are necessarily CORRECT? Both I and II I only II only Neither I nor II
Arjun
asked
in
Linear Algebra
Feb 14, 2017
by
Arjun
19.8k
views
gatecse-2017-set1
linear-algebra
eigen-value
normal
1
vote
1
answer
117
Test by Bikram | Mock GATE | Test 3 | Question: 54
Consider a matrix: $A =$ $\begin{bmatrix} 6 & 10\\ -2&-3 \end{bmatrix}$ The trace of $A^{10}$ is ______.
Bikram
asked
in
Linear Algebra
Feb 9, 2017
by
Bikram
275
views
tbb-mockgate-3
numerical-answers
engineering-mathematics
linear-algebra
eigen-value
1
vote
2
answers
118
Test by Bikram | Mock GATE | Test 3 | Question: 15
$’X’$ and $’T’$ are two square matrices. $’X’$ has eigen values $3, 0, 2$. $’T’$ has eigen values $4$ and $1$. Which of the following statements is CORRECT? $X$ and $T$ both are invertible. $T$ is invertible but not $X$. $X$ is invertible but not $T$. None of them are invertible.
Bikram
asked
in
GATE
Feb 9, 2017
by
Bikram
145
views
tbb-mockgate-3
engineering-mathematics
linear-algebra
matrix
eigen-value
6
votes
6
answers
119
Gate ECE 2017 Eigen Value
For the given matrix A, one of the Eigenvalue is real $A=\begin{bmatrix} 1 &2 &3 &4 &5 \\ 5 &1 &2 &3 &4 \\ 4&5 &1 &2 &3 \\ 3&4 &5 &1 &2 \\ 2 &3 &4 &5 &1 \end{bmatrix}$ The real Eigen value is:
yg92
asked
in
Linear Algebra
Feb 8, 2017
by
yg92
4.2k
views
matrix
eigen-value
3
votes
1
answer
120
GeeksQuiz No of Linearly Independent Vector for Eigen value
The number of linearly independent eigen vector for eigen value 1 $\begin{bmatrix} 1 & 3 & 2 \\ 0 & 4 & 2\\ 0 &-3 & -1 \end{bmatrix}$ ... linearly independent Vector should be equal to Matrix Rank = 1 ? The ans given is No Of Unknown - Rank ( 3-1 = 2)
yg92
asked
in
Linear Algebra
Feb 5, 2017
by
yg92
1.3k
views
eigen-value
linear-algebra
engineering-mathematics
geeksforgeeks-test-series
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