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Recent questions tagged eigenvalue
+2
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3
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1
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
Veteran
(
386k
points)

2k
views
gate2019
numericalanswers
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
2
Previous gate
asked
Jan 31
in
Linear Algebra
by
Hemanth_13
Loyal
(
6.5k
points)

66
views
eigenvalue
0
votes
1
answer
3
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
(
345
points)

68
views
linearalgebra
matrix
eigenvalue
0
votes
1
answer
4
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
(
15.3k
points)

81
views
gb2019mock1
linearalgebra
eigenvalue
determinant
0
votes
0
answers
5
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
Active
(
2.3k
points)

75
views
eigenvalue
engineeringmathematics
linearalgebra
0
votes
0
answers
6
Zeal Test Series 2019: Linear Algebra  Eigen Value
asked
Dec 21, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
6.2k
points)

71
views
zeal
engineeringmathematics
linearalgebra
eigenvalue
zeal2019
+1
vote
1
answer
7
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)

42
views
idempotentmatrix
eigenvalue
0
votes
1
answer
8
Ace Test Series: Linear Algebra  Eigen Values
asked
Dec 7, 2018
in
Linear Algebra
by
Sumit Kushwah
(
15
points)

118
views
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
0
answers
9
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
(
6.4k
points)

72
views
madeeasytestseries
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
10
#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
(
713
points)

65
views
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
11
Eigen Vector
asked
Nov 7, 2018
in
Linear Algebra
by
Na462
Loyal
(
8.7k
points)

210
views
eigenvalue
linearalgebra
0
votes
0
answers
12
GATEME2016
asked
Nov 6, 2018
in
Linear Algebra
by
aditi19
Active
(
2.4k
points)

94
views
gate20161
linearalgebra
matrices
eigenvalue
0
votes
0
answers
13
Eigen Vector
asked
Oct 26, 2018
in
Linear Algebra
by
Na462
Loyal
(
8.7k
points)

47
views
eigenvalue
linearalgebra
engineeringmathematics
0
votes
0
answers
14
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
(
29.4k
points)

84
views
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
15
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
(
29.4k
points)

77
views
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
16
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)

100
views
linearalgebra
eigenvalue
0
votes
1
answer
17
Test series
asked
Oct 5, 2018
in
Linear Algebra
by
abhishekmehta4u
Boss
(
29k
points)

80
views
eigenvalue
0
votes
0
answers
18
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)

52
views
linearalgebra
engineeringmathematics
eigenvalue
+1
vote
1
answer
19
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
(
34.2k
points)

234
views
linearalgebra
eigenvalue
+3
votes
4
answers
20
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
(
2.4k
points)

149
views
matrices
eigenvalue
0
votes
1
answer
21
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)

108
views
eigenvalue
usergate2015
usermod
0
votes
1
answer
22
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)

278
views
eigenvalue
0
votes
0
answers
23
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)

96
views
gate20161
linearalgebra
eigenvalue
0
votes
1
answer
24
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)

153
views
linearalgebra
matrices
engineeringmathematics
eigenvalue
matrixinversion
+1
vote
1
answer
25
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
(
549
points)

29
views
linearalgebra
eigenvalue
+2
votes
2
answers
26
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
(
2k
points)

298
views
linearalgebra
gate2016ee2
eigenvalue
+3
votes
1
answer
27
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
(
901
points)

248
views
matrices
eigenvalue
+1
vote
1
answer
28
MadeEasy Workbook: Engineering Mathematics  Eigen value
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
(
901
points)

279
views
engineeringmathematics
linearalgebra
eigenvalue
+2
votes
2
answers
29
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
(
901
points)

147
views
matrices
eigenvalue
+1
vote
2
answers
30
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
(
901
points)

587
views
matrices
eigenvalue
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