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Recent questions tagged eigenvalue
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1
Made Easy Workbook
Let A be a 3*3 matrix whose characteristics roots are 3,2,1. If $B=A^2A$ then B=? a)24 b)2 c)12 d)12 Please explain in detail.
asked
4 days
ago
in
Linear Algebra
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Reshu $ingh
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19
points)

24
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linearalgebra
matrix
eigenvalue
0
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0
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2
GATEBOOK2019 Mock Test112
All the four entries of $2\times 2$ matrix $P = \begin{vmatrix} p_{11} \quad p_{12} \\ p_{21} \quad p_{22} \end{vmatrix}$ are non zero , and one of its eigen values is zero. Which of the following statements is TRUE? $p_{11}p_{22}  p_{12}p_{21} = 1$ $p_{11}p_{22}  p_{12}p_{21} = 1$ $p_{11}p_{22}  p_{12}p_{21} = 0$ $p_{11}p_{22} + p_{12}p_{21} = 0$
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5 days
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Others
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GATEBOOK
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14.4k
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gb2019mock1
linearalgebra
eigenvalue
determinant
0
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0
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3
Eigen Values Doubt
Let there is a 2*2 Matrix and their eigen values are A and B. The eigen values of $(A+7I)^{1}$ ?
asked
Jan 4
in
Linear Algebra
by
Shamim Ahmed
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2.2k
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54
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eigenvalue
engineeringmathematics
linearalgebra
0
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0
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4
Test gate zeal
asked
Dec 21, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
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6.1k
points)

50
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zeal
test
eigenvalue
0
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0
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5
#math combat
If $A$ is $2\times 2$ matrix ,eigen value is $1,2$ and corresponding eigen vector $[1,2]^{T}$ and $[9,1]^{T}$.find sum of element of the matrix $A.$
asked
Nov 15, 2018
in
Linear Algebra
by
amit166
Junior
(
659
points)

58
views
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
6
Eigen Vector
asked
Nov 7, 2018
in
Linear Algebra
by
Na462
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8.3k
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194
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eigenvalue
linearalgebra
0
votes
0
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7
GATEME2016
asked
Nov 6, 2018
in
Linear Algebra
by
aditi19
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2.2k
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81
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gate20161
linearalgebra
matrices
eigenvalue
0
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8
Eigen Vector
asked
Oct 26, 2018
in
Linear Algebra
by
Na462
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8.3k
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43
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eigenvalue
linearalgebra
engineeringmathematics
0
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0
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9
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, 2018
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
27.2k
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55
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engineeringmathematics
linearalgebra
eigenvalue
0
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0
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10
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, 2018
in
Linear Algebra
by
Lakshman Patel RJIT
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27.2k
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66
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engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
11
number of linearly indendent eigen vectors
... I know it can be solved using #indpendent eigen vectors = n  rank(matrix) I want to now how the above formula derived !!
asked
Oct 14, 2018
in
Linear Algebra
by
MIRIYALA JEEVAN KUMA
Active
(
2.4k
points)

92
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linearalgebra
eigenvalue
0
votes
1
answer
12
Test series
asked
Oct 5, 2018
in
Linear Algebra
by
abhishekmehta4u
Boss
(
25k
points)

77
views
eigenvalue
0
votes
0
answers
13
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, 2018
in
Linear Algebra
by
Swapnil Naik
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2.7k
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49
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linearalgebra
engineeringmathematics
eigenvalue
+1
vote
1
answer
14
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, 2018
in
Linear Algebra
by
Mk Utkarsh
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33.3k
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206
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linearalgebra
eigenvalue
+3
votes
2
answers
15
Eigen Value
An orthogonal matrix A has eigen values 1, 2 and 4. What is the trace of the matrix
asked
Sep 20, 2018
in
Linear Algebra
by
aditi19
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2.2k
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108
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matrices
eigenvalue
0
votes
1
answer
16
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, 2018
in
Linear Algebra
by
suparna kar
(
131
points)

84
views
eigenvalue
usergate2015
usermod
0
votes
1
answer
17
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, 2018
in
Linear Algebra
by
suparna kar
(
131
points)

189
views
eigenvalue
0
votes
0
answers
18
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, 2018
in
Linear Algebra
by
suparna kar
(
131
points)

84
views
gate20161
linearalgebra
eigenvalue
0
votes
1
answer
19
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, 2018
in
Linear Algebra
by
ZeroFriction
(
15
points)

133
views
linearalgebra
matrices
engineeringmathematics
eigenvalue
matrixinversion
0
votes
1
answer
20
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, 2018
in
Mathematical Logic
by
suneetha
Junior
(
527
points)

26
views
linearalgebra
eigenvalue
+2
votes
2
answers
21
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, 2018
in
Linear Algebra
by
Prateek K
Active
(
1.9k
points)

220
views
linearalgebra
gate2016ee2
eigenvalue
+3
votes
1
answer
22
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
891
points)

230
views
matrices
eigenvalue
+1
vote
1
answer
23
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
891
points)

263
views
matrices
eigen
eigenvalue
+2
votes
2
answers
24
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
891
points)

142
views
matrices
eigenvalue
+1
vote
2
answers
25
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
891
points)

524
views
matrices
eigenvalue
+1
vote
1
answer
26
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, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
6.1k
points)

130
views
eigenvalue
matrices
+15
votes
4
answers
27
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, 2018
in
Linear Algebra
by
gatecse
Boss
(
18.3k
points)

4k
views
gate2018
linearalgebra
matrices
eigenvalue
normal
+8
votes
4
answers
28
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, 2018
in
Linear Algebra
by
gatecse
Boss
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18.3k
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2.1k
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gate2018
linearalgebra
eigenvalue
normal
numericalanswers
0
votes
0
answers
29
Matrix
asked
Jan 31, 2018
in
Linear Algebra
by
srestha
Veteran
(
107k
points)

111
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matrices
engineeringmathematics
eigenvalue
+1
vote
1
answer
30
****** Test Series
The number of distinct eigen values of the matrix
asked
Jan 19, 2018
in
Linear Algebra
by
ankit_thawal
Active
(
2.1k
points)

149
views
eigenvalue
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