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Recent questions tagged eigenvalue
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Inversion of a matrix  CSIR question
Let A be 3x3 matrix. Suppose 1 and 1 are two of the three Eigen Values of A and 18 is one of the Eigen Values of A2+3A. Then____ a.) Both A and A2+3A are invertible. b.) A2+3A but A is not. c.) A is invertible but A2+3A is not invertible. d.) Both A and A2+3A are not invertible.
asked
Jul 5
in
Linear Algebra
by
ZeroFriction
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15
points)

52
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linearalgebra
matrices
engineeringmathematics
eigenvalue
matrixinversion
0
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1
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2
linear algebra
the product of the nonzero eigen values of the matrax 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 how can we solve this question?
asked
Jul 2
in
Mathematical Logic
by
suneetha
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87
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14
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linearalgebra
eigenvalue
0
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2
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3
GATE 2016 EE SET 1
Let the eigenvalues of 2 x 2 matrix A be 1, 2 with eigenvectors x1 and x2 respectively. Then the eigenvalues and eigenvectors of the matrix A^2  3A+4I would respectively, be (a) 2,14; x1,x2 (b) 2,14; x1+x2:x1x2 (c) 2,0; x1, x2 (d) 2,0; x1+x2,x1x2
asked
May 2
in
Linear Algebra
by
Prateek K
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1.3k
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97
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linearalgebra
gate2016ee2
eigenvalue
+2
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1
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4
Made easy workbook
Let $A$ be a $4\times 4$ matrix with real entries such that $1,1,2,2$ are eigen values.If $B=A^45A^2+5I$ then trace of $A+B$ is...........
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
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679
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146
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matrices
eigenvalue
+1
vote
1
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5
Madeeasy workbook
Let $A$ be a $3\times 3$ matrix with Eigen values $1,1,0$.Then $\mid A^{100}+I\mid$ is...
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
679
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128
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matrices
eigen
eigenvalue
+2
votes
2
answers
6
Madeeasy workbook
A $3\times 3$ matrix $P$ is such that $P^3 =P$.Then the eigenvalues of $P$ are $1,1,1$ $1,0.5+j(0.886),0.5j(0.866)$ $1,0.5+j(0.866),0.5j(0.886)$ $0,1,1$
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
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679
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93
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matrices
eigenvalue
+1
vote
2
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7
Madeeasy workbook
Let $A$ be a $3\times 3$ matrix such that $\mid AI \mid=0$.If trace of $A=13$ and $det A = 32$ then sum of squares of the eigen values of $A$ is ..... $82$ $13$ $169$ $81$
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
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679
points)

264
views
matrices
eigenvalue
+1
vote
1
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8
Eigen value of the following matrix
The eigen value of the following matrix is $\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}$ $1, 1, 1$ $1, 0, 0$ $3, 0, 0$ $0, 0, 0$
asked
Mar 3
in
Linear Algebra
by
Prince Sindhiya
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1.2k
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90
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eigenvalue
matrices
+10
votes
3
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9
GATE201826
Consider a matrix P whose only eigenvectors are the multiples of $\begin{bmatrix} 1 \\ 4 \end{bmatrix}$. Consider the following statements. P does not have an inverse P has a repeated eigenvalue P cannot be diagonalized Which one of the following options ... and III are necessarily true Only II is necessarily true Only I and II are necessarily true Only II and III are necessarily true
asked
Feb 14
in
Linear Algebra
by
gatecse
Boss
(
18k
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2k
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gate2018
linearalgebra
matrices
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normal
+6
votes
4
answers
10
GATE201817
Consider a matrix $A= uv^T$ where $u=\begin{pmatrix}1 \\ 2 \end{pmatrix} , v = \begin{pmatrix}1 \\1 \end{pmatrix}$. Note that $v^T$ denotes the transpose of $v$. The largest eigenvalue of $A$ is ____
asked
Feb 14
in
Linear Algebra
by
gatecse
Boss
(
18k
points)

1.4k
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gate2018
linearalgebra
eigenvalue
normal
numericalanswers
0
votes
0
answers
11
Matrix
asked
Jan 31
in
Linear Algebra
by
srestha
Veteran
(
89k
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91
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matrices
engineeringmathematics
eigenvalue
+1
vote
1
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12
****** Test Series
The number of distinct eigen values of the matrix
asked
Jan 19
in
Linear Algebra
by
ankit_thawal
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2.1k
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133
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eigenvalue
+1
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0
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Test Series
Which of the following is the eigen vector of the matrix ( Marks: 0.66 ) (1,1,0) (1,1,1) (0,1,1) (0,0,1) Plz explain in detail.
asked
Jan 13
in
Linear Algebra
by
ankit_thawal
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2.1k
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92
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eigenvalue
+4
votes
1
answer
14
largest eigen value
asked
Jan 13
in
Linear Algebra
by
Lakshman Patel RJIT
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7.9k
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62
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engineeringmathematics
eigenvalue
+5
votes
1
answer
15
Eigen value
asked
Jan 13
in
Linear Algebra
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Lakshman Patel RJIT
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7.9k
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127
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engineeringmathematics
linearalgebra
matrix
eigenvalue
+1
vote
1
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16
Linear Algebra: Matrix operations
Consider two statements: 1) Eigenvalue of M = Eigenvalue of M' {M' is the matrix gets after row operation} 2) Eigenvalue of M $\lambda$I = Eigenvalue of M $\lambda$I' {M $\lambda$I' is the matrix gets after row operation}
asked
Jan 1
in
Linear Algebra
by
Shubhanshu
Boss
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15.1k
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98
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engineeringmathematics
linearalgebra
eigenvalue
+1
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0
answers
17
Eigen Vectors
asked
Dec 12, 2017
in
Linear Algebra
by
ankitgupta.1729
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6.4k
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142
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linearalgebra
eigenvalue
engineeringmathematics
0
votes
1
answer
18
What are the eigenvector correspond to the following matrix?
asked
Dec 9, 2017
in
Mathematical Logic
by
hem chandra joshi
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(
4.4k
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65
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eigenvalue
0
votes
1
answer
19
If we perform row/column operation in matrix does it eigenvalue change?
asked
Dec 8, 2017
in
Mathematical Logic
by
hem chandra joshi
Active
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4.4k
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58
views
eigenvalue
0
votes
1
answer
20
Made Easy: 201718: ENGINEERING MATHEMATICS1: Q: 5
asked
Nov 27, 2017
in
Mathematical Logic
by
Chhotu
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10.6k
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134
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madeeasytestseries
engineeringmathematics
eigenvalue
0
votes
2
answers
21
virtual gate
asked
Nov 17, 2017
in
Linear Algebra
by
Manoja Rajalakshmi A
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(
3k
points)

49
views
eigenvalue
+4
votes
1
answer
22
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.
asked
Nov 14, 2017
in
Mathematical Logic
by
Lakshman Patel RJIT
Loyal
(
7.9k
points)

95
views
engineeringmathematics
linearalgebra
matrix
eigenvalue
0
votes
0
answers
23
Eigen vector correspond Eigen value 1
asked
Nov 14, 2017
in
Mathematical Logic
by
hem chandra joshi
Active
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4.4k
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51
views
engineeringmathematics
eigenvalue
+1
vote
0
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24
Eigen values confusing question
asked
Nov 13, 2017
in
Computer Networks
by
Parshu gate
Active
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4.9k
points)

42
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eigenvalue
linearalgebra
engineeringmathematics
+1
vote
1
answer
25
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
asked
Nov 11, 2017
in
Linear Algebra
by
Parshu gate
Active
(
4.9k
points)

172
views
eigenvalue
engineeringmathematics
linearalgebra
+1
vote
0
answers
26
Eigenvector doubt
I have query if after putting eigen values in characteristic equation I got two row zero thn what will correspond eigen vector?
asked
Nov 11, 2017
in
Engineering Mathematics
by
hem chandra joshi
Active
(
4.4k
points)

36
views
eigenvector
eigenvalue
+1
vote
1
answer
27
Maths: Linear Algebra
Any shortcut?
asked
Nov 6, 2017
in
Linear Algebra
by
Manu Thakur
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(
39.7k
points)

164
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engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
28
Eigen Values of a skew Symmetric Matrix
The eigen values of a skewsymmetric 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
asked
Oct 20, 2017
in
Mathematical Logic
by
Salazar
Active
(
1.1k
points)

567
views
linearalgebra
engineeringmathematics
eigenvalue
+3
votes
1
answer
29
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
asked
Sep 1, 2017
in
Linear Algebra
by
vishwajit_vishnu
(
385
points)

254
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engineeringmathematics
eigenvalue
linearalgebra
gate2005
+1
vote
0
answers
30
http://ee.gateoverflow.in/212/gate201612
asked
Aug 26, 2017
in
Linear Algebra
by
sid1221
Active
(
3.6k
points)

170
views
eigenvalue
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