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Recent questions tagged eigenvalue
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ISI2018MMA14
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 $4$ $2$ $2$ $4$
asked
May 11
in
Linear Algebra
by
akash.dinkar12
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40.6k
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40
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isi2018
engineeringmathematics
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determinant
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CSIR UGC NET
asked
Apr 28
in
Linear Algebra
by
Hirak
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2.1k
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33
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liner
linearalgebra
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matrixinversion
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+2
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1
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3
Vani Institute Question Bank Pg231 chapter 6
The Eigen values of $A=\begin{bmatrix} a& 1& 0\\1 &a &1 \\0 &1 &a \end{bmatrix}$ are______ $a,a,a$ $0,a,2a$ $a,2a,2a$ $a,a+\sqrt{2},a\sqrt{2}$
asked
Apr 25
in
Linear Algebra
by
Hirak
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2.1k
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74
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engineeringmathematics
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+3
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3
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4
GATE201944
Consider the following matrix: $R = \begin{bmatrix} 1 & 2 & 4 & 8 \\ 1 & 3 & 9 & 27 \\ 1 & 4 & 16 & 64 \\ 1 & 5 & 25 & 125 \end{bmatrix}$ The absolute value of the product of Eigen values of $R$ is _______
asked
Feb 7
in
Linear Algebra
by
Arjun
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400k
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2.2k
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gate2019
numericalanswers
engineeringmathematics
linearalgebra
eigenvalue
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Previous gate
asked
Jan 31
in
Linear Algebra
by
Hemanth_13
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6.6k
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75
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eigenvalue
0
votes
1
answer
6
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
Jan 19
in
Linear Algebra
by
Reshu $ingh
(
379
points)

95
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linearalgebra
matrix
eigenvalue
0
votes
1
answer
7
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? $p_{11}p_{22}  p_{12}p_{21} = 1$ $p_{11}p_{22}  p_{12}p_{21} = 1$ $p_{11}p_{22}  p_{12}p_{21} = 0$ $p_{11}p_{22} + p_{12}p_{21} = 0$
asked
Jan 19
in
Others
by
GATEBOOK
Boss
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17.3k
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88
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gb2019mock1
linearalgebra
eigenvalue
determinant
0
votes
0
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8
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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2.5k
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89
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eigenvalue
engineeringmathematics
linearalgebra
0
votes
0
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Zeal Test Series 2019: Linear Algebra  Eigen Value
asked
Dec 21, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
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6.3k
points)

87
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zeal
engineeringmathematics
linearalgebra
eigenvalue
zeal2019
+5
votes
2
answers
10
TIFR2019A3
$A$ is $n \times n$ square matrix for which the entries in every row sum to $1$. Consider the following statements: The column vector $[1,1,\ldots,1]^T$ is an eigen vector of $A.$ $ \text{det}(AI) = 0.$ $\text{det}(A) = 0.$ Which of the above statements must be TRUE? Only $(i)$ Only $(ii)$ Only $(i)$ and $(ii)$ Only $(i)$ and $(iii)$ $(i),(ii) \text{ and }(iii)$
asked
Dec 18, 2018
in
Linear Algebra
by
Arjun
Veteran
(
400k
points)

405
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tifr2019
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
11
Doubts
Eigenvalues of an Idempotentmatrix matrix A is 0 or 1 right or wrong?
asked
Dec 15, 2018
in
Linear Algebra
by
sahadeo2494
(
87
points)

44
views
idempotentmatrix
eigenvalue
0
votes
1
answer
12
Ace Test Series: Linear Algebra  Eigen Values
asked
Dec 7, 2018
in
Linear Algebra
by
Sumit Kushwah
(
15
points)

151
views
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
0
answers
13
MadeEasy Test Series: Linear Algebra  Eigen Value
A 3 X 3 matrix P has 3 eigen values $1 , 0.5 , 3$ What will be eigen values of $P^{2} + 2P + I$
asked
Dec 2, 2018
in
Linear Algebra
by
jatin khachane 1
Loyal
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7.1k
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89
views
madeeasytestseries
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
14
#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
(
761
points)

68
views
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
15
Eigen Vector
asked
Nov 7, 2018
in
Linear Algebra
by
Na462
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8.7k
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219
views
eigenvalue
linearalgebra
0
votes
0
answers
16
GATEME2016
asked
Nov 6, 2018
in
Linear Algebra
by
aditi19
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3.5k
points)

105
views
gate20161
linearalgebra
matrices
eigenvalue
0
votes
0
answers
17
Eigen Vector
asked
Oct 26, 2018
in
Linear Algebra
by
Na462
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8.7k
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49
views
eigenvalue
linearalgebra
engineeringmathematics
0
votes
0
answers
18
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
(
36.4k
points)

87
views
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
19
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
Boss
(
36.4k
points)

85
views
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
20
Virtual Gate Test Series: Linear Algebra  Eigen Value
asked
Oct 16, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
6.3k
points)

44
views
engineeringmathematics
linearalgebra
matrices
eigenvalue
virtualgatetestseries
0
votes
0
answers
21
Virtual Gate Test Series: Linear Algebra  Eigen Values of a Unity Matrix
asked
Oct 15, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
6.3k
points)

62
views
engineeringmathematics
linearalgebra
matrices
eigenvalue
virtualgatetestseries
+1
vote
1
answer
22
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
(
2.5k
points)

111
views
linearalgebra
eigenvalue
0
votes
1
answer
23
Test series
asked
Oct 5, 2018
in
Linear Algebra
by
abhishekmehta4u
Boss
(
33.6k
points)

81
views
eigenvalue
0
votes
0
answers
24
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
Active
(
3k
points)

54
views
linearalgebra
engineeringmathematics
eigenvalue
+1
vote
1
answer
25
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
Boss
(
35.4k
points)

244
views
linearalgebra
eigenvalue
+3
votes
4
answers
26
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
Active
(
3.5k
points)

210
views
matrices
eigenvalue
0
votes
1
answer
27
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
(
125
points)

117
views
eigenvalue
usergate2015
usermod
0
votes
1
answer
28
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
(
125
points)

311
views
eigenvalue
0
votes
0
answers
29
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
(
125
points)

97
views
gate20161
linearalgebra
eigenvalue
0
votes
1
answer
30
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)

167
views
linearalgebra
matrices
engineeringmathematics
eigenvalue
matrixinversion
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