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Recent questions tagged eigenvalue
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Eigen Vector
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Nov 7
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Linear Algebra
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Na462
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GATEME2016
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Nov 6
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Linear Algebra
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aditi19
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gate20161
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3
Eigen Vector
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Oct 26
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Linear Algebra
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Na462
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20
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Eigen Values(Matrix is not idempotent)
Given that a matrix $A_{3\times3},$which is not idempotent matrix.And $A^{3}=A.$ Then find them, $1)$ Eigen Values $2)$ Trace of the matrix$=$Sum of Leading Diagonal Elements$=\sum a_{ij},$ where $i=j$ $3)Det(A)$
asked
Oct 25
in
Linear Algebra
by
Lakshman Patel RJIT
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14.5k
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35
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engineeringmathematics
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5
Linear algebra
Given that the matrix $A=\begin{bmatrix} a_{11} &a_{12} \\ a_{21} &a_{22} \end{bmatrix}$ and Eigen value are $1,2$ and Corresponding Eigen Vectors are $X_{1}=\begin{bmatrix} 1\\2 \end{bmatrix}$ and $X_{2}=\begin{bmatrix} 9\\1 \end{bmatrix}$ Find the $1)\sum a_{ij},$when $i=j$ $2)Det(A)$ $3)$Sum of all Elements in the given matrix
asked
Oct 25
in
Linear Algebra
by
Lakshman Patel RJIT
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14.5k
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39
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engineeringmathematics
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6
GATE 2017 (EC) 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: $A)2.5$ $B)0$ $C)15$ $D)25$
asked
Oct 18
in
Linear Algebra
by
Lakshman Patel RJIT
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14.5k
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49
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engineeringmathematics
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7
number of linearly indendent eigen vectors
asked
Oct 14
in
Linear Algebra
by
MIRIYALA JEEVAN KUMA
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66
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8
Test series
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Oct 5
in
Linear Algebra
by
abhishekmehta4u
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65
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eigenvalue
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9
Linear Algebra
We know, the eigen value for upper triangular/lower triangular/diagonal matrices are the diagonal elements of the matrix. https://gateoverflow.in/858/gate20025a This question, https://gateoverflow.in/1174/gate200549 If apply row transformation to convert it ... make the given matrix to upper triangular matrix, so that eigen values will be equal to the elements in the diagonals?
asked
Oct 5
in
Linear Algebra
by
Swapnil Naik
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2k
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43
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linearalgebra
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1
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10
GATE2016 37 Mathematics
Let $M = \begin{bmatrix} a & b &c \\ b &d & e\\ c & e & f \end{bmatrix}$ be a real matrix with eigenvalues 1, 0 and 3. If the eigenvectors corresponding to 1 and 0 are $\left ( 1,1,1 \right )^T$ and $\left ( 1,1, 0 \right )^T$ respectively, then the value of 3f is equal to _______.
asked
Oct 4
in
Linear Algebra
by
Mk Utkarsh
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23.7k
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114
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linearalgebra
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2
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11
Eigen Value
An orthogonal matrix A has eigen values 1, 2 and 4. What is the trace of the matrix
asked
Sep 20
in
Linear Algebra
by
aditi19
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1.2k
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81
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matrices
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12
Gate 2015 CE set 2
The two eigen values of the matrix $\begin{bmatrix} 2 & 1\\ 1& p \end{bmatrix}$ have a ratio of 3:1 for p= 2. What is another value of p for which eigenvalues have the same ratio of 3:1? A)2 b) 1 c) 7/3 d)14/3
asked
Aug 18
in
Linear Algebra
by
suparna kar
(
95
points)

39
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eigenvalue
usergate2015
usermod
0
votes
1
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13
Gate 2016 CE Set 1
If the entries in each column of a square matrix M add up to 1, then an eigen value of M is A) 4 B) 3 C) 2 D) 1
asked
Aug 17
in
Linear Algebra
by
suparna kar
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95
points)

74
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eigenvalue
0
votes
0
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14
Gate 2016 ME Set 2
The condition for which the eigen values of the matrix A = $\begin{pmatrix} 2 &1 \\ 1& k \end{pmatrix}$ are positive, is a) k>1/2 b) k>2 c) k>0 d) k< 1/2
asked
Aug 17
in
Linear Algebra
by
suparna kar
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95
points)

52
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gate20161
linearalgebra
eigenvalue
0
votes
1
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15
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
(
15
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101
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linearalgebra
matrices
engineeringmathematics
eigenvalue
matrixinversion
0
votes
1
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16
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
(
329
points)

22
views
linearalgebra
eigenvalue
+1
vote
2
answers
17
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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1.6k
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135
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linearalgebra
gate2016ee2
eigenvalue
+3
votes
1
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18
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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837
points)

184
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matrices
eigenvalue
+1
vote
1
answer
19
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
(
837
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229
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matrices
eigen
eigenvalue
+2
votes
2
answers
20
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
Junior
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837
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121
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matrices
eigenvalue
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vote
2
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21
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
(
837
points)

372
views
matrices
eigenvalue
+1
vote
1
answer
22
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
Active
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4.4k
points)

114
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eigenvalue
matrices
+12
votes
3
answers
23
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
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18.3k
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2.5k
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gate2018
linearalgebra
matrices
eigenvalue
normal
+7
votes
4
answers
24
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
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(
18.3k
points)

1.6k
views
gate2018
linearalgebra
eigenvalue
normal
numericalanswers
0
votes
0
answers
25
Matrix
asked
Jan 31
in
Linear Algebra
by
srestha
Veteran
(
101k
points)

101
views
matrices
engineeringmathematics
eigenvalue
+1
vote
1
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26
****** 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
points)

143
views
eigenvalue
+1
vote
0
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27
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
points)

96
views
eigenvalue
+4
votes
1
answer
28
largest eigen value
Assume determinant of a $3\times3$ matrix is a prime number and trace is $15.$Largest eigen value is _______(Assume only positve eigen values)
asked
Jan 13
in
Linear Algebra
by
Lakshman Patel RJIT
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14.5k
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71
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engineeringmathematics
linearalgebra
eigenvalue
+6
votes
1
answer
29
Eigen value
asked
Jan 13
in
Linear Algebra
by
Lakshman Patel RJIT
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14.5k
points)

139
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engineeringmathematics
linearalgebra
matrix
eigenvalue
+2
votes
1
answer
30
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
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16.2k
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108
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engineeringmathematics
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