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Recent questions tagged eigenvalue
+2
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2
answers
1
ISI2015MMA39
The eigenvalues of the matrix $X = \begin{pmatrix} 2 & 1 & 1 \\ 1 & 2 & 1 \\ 1 & 1 & 2 \end{pmatrix}$ are $1,1,4$ $1,4,4$ $0,1,4$ $0,4,4$
asked
Sep 23, 2019
in
Linear Algebra
by
Arjun
Veteran
(
431k
points)

81
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isi2015mma
linearalgebra
matrices
eigenvalue
0
votes
0
answers
2
ISI2015MMA42
Let $\lambda_1, \lambda_2, \lambda_3$ denote the eigenvalues of the matrix $A \begin{pmatrix} 1 & 0 & 0 \\ 0 & \cos t & \sin t \\ 0 &  \sin t & \cos t \end{pmatrix}.$ If $\lambda_1+\lambda_2+\lambda_3 = \sqrt{2}+1$ ... $\{  \frac{\pi}{4}, \frac{\pi}{4} \}$ $\{  \frac{\pi}{3}, \frac{\pi}{3} \}$
asked
Sep 23, 2019
in
Linear Algebra
by
Arjun
Veteran
(
431k
points)

44
views
isi2015mma
linearalgebra
matrices
eigenvalue
0
votes
1
answer
3
ISI2015MMA62
If the matrix $A = \begin{bmatrix} a & 1 \\ 2 & 3 \end{bmatrix}$ has $1$ as an eigenvalue, then $\textit{trace}(A)$ is $4$ $5$ $6$ $7$
asked
Sep 23, 2019
in
Linear Algebra
by
Arjun
Veteran
(
431k
points)

51
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isi2015mma
linearalgebra
matrices
eigenvalue
0
votes
0
answers
4
GATE MOCK 2018
An orthogonal matrix A has eigen values 1, 2 and 4, then trace of the matrix $A^T$ is ___________
asked
May 28, 2019
in
Linear Algebra
by
Hirak
Active
(
3.6k
points)

87
views
eigenvalue
linearalgebra
0
votes
1
answer
5
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, 2019
in
Linear Algebra
by
akash.dinkar12
Boss
(
42.5k
points)

99
views
isi2018mma
engineeringmathematics
linearalgebra
eigenvalue
determinant
+1
vote
0
answers
6
CSIR UGC NET
asked
Apr 28, 2019
in
Linear Algebra
by
Hirak
Active
(
3.6k
points)

61
views
linearalgebra
eigenvalue
matrices
+3
votes
1
answer
7
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, 2019
in
Linear Algebra
by
Hirak
Active
(
3.6k
points)

115
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engineeringmathematics
linearalgebra
eigenvalue
+8
votes
4
answers
8
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, 2019
in
Linear Algebra
by
Arjun
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(
431k
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3.6k
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gate2019
numericalanswers
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
9
Previous gate
asked
Jan 31, 2019
in
Linear Algebra
by
Hemanth_13
Loyal
(
6.7k
points)

89
views
eigenvalue
0
votes
1
answer
10
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, 2019
in
Linear Algebra
by
Reshu $ingh
(
265
points)

208
views
linearalgebra
matrices
eigenvalue
0
votes
0
answers
11
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, 2019
in
Linear Algebra
by
Shamim Ahmed
Active
(
2.5k
points)

122
views
eigenvalue
engineeringmathematics
linearalgebra
0
votes
0
answers
12
Zeal Test Series 2019: Linear Algebra  Eigen Value
asked
Dec 21, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
5.9k
points)

112
views
zeal
engineeringmathematics
linearalgebra
eigenvalue
zeal2019
+6
votes
2
answers
13
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
(
431k
points)

608
views
tifr2019
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
14
Doubts
Eigenvalues of an Idempotentmatrix matrix A is 0 or 1 right or wrong?
asked
Dec 15, 2018
in
Linear Algebra
by
sahadeo2494
(
125
points)

54
views
idempotentmatrix
eigenvalue
0
votes
1
answer
15
Ace Test Series: Linear Algebra  Eigen Values
asked
Dec 7, 2018
in
Linear Algebra
by
Sumit Kushwah
(
21
points)

177
views
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
0
answers
16
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
(
7.5k
points)

120
views
madeeasytestseries
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
17
#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
(
775
points)

79
views
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
18
Eigen Vector
asked
Nov 7, 2018
in
Linear Algebra
by
Na462
Loyal
(
7k
points)

274
views
eigenvalue
linearalgebra
0
votes
0
answers
19
Eigen Vector
asked
Oct 26, 2018
in
Linear Algebra
by
Na462
Loyal
(
7k
points)

57
views
eigenvalue
linearalgebra
engineeringmathematics
0
votes
0
answers
20
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
Veteran
(
59.3k
points)

99
views
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
21
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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(
59.3k
points)

101
views
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
22
Virtual Gate Test Series: Linear Algebra  Eigen Value
asked
Oct 16, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
5.9k
points)

74
views
engineeringmathematics
linearalgebra
matrices
eigenvalue
virtualgatetestseries
0
votes
0
answers
23
Virtual Gate Test Series: Linear Algebra  Eigen Values of a Unity Matrix
asked
Oct 15, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
5.9k
points)

98
views
engineeringmathematics
linearalgebra
matrices
eigenvalue
virtualgatetestseries
+1
vote
1
answer
24
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)

150
views
linearalgebra
eigenvalue
0
votes
1
answer
25
Test series
asked
Oct 5, 2018
in
Linear Algebra
by
abhishekmehta4u
Boss
(
36.7k
points)

93
views
eigenvalue
0
votes
0
answers
26
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
(
3.2k
points)

60
views
linearalgebra
engineeringmathematics
eigenvalue
+2
votes
1
answer
27
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
(
36.6k
points)

312
views
linearalgebra
eigenvalue
+4
votes
5
answers
28
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
Loyal
(
5.2k
points)

339
views
matrices
eigenvalue
+1
vote
0
answers
29
ISI2016MMA19
Let $A$ be a real $2 \times 2$ matrix. If $5+3i$ is an eigenvalue of $A$, then $det(A)$ equals 4 equals 8 equals 16 cannot be determined from the given information
asked
Sep 13, 2018
in
Linear Algebra
by
jothee
Veteran
(
105k
points)

22
views
isi2016mmamma
linearalgebra
matrices
eigenvalue
+1
vote
0
answers
30
ISI2016MMA28
Let $A$ be a square matrix such that $A^3 =0$, but $A^2 \neq 0$. Then which of the following statements is not necessarily true? $A \neq A^2$ Eigenvalues of $A^2$ are all zero rank($A$) > rank($A^2$) rank($A$) > trace($A$)
asked
Sep 13, 2018
in
Linear Algebra
by
jothee
Veteran
(
105k
points)

24
views
isi2016mmamma
linearalgebra
matrices
eigenvalue
rankofmatrix
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