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Recent questions tagged eigenvalue
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GATE MOCK 2018
An orthogonal matrix A has eigen values 1, 2 and 4, then trace of the matrix $A^T$ is ___________
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May 28
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Linear Algebra
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Hirak
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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 $4$ $2$ $2$ $4$
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May 11
in
Linear Algebra
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akash.dinkar12
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CSIR UGC NET
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Apr 28
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Linear Algebra
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Hirak
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39
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linearalgebra
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4
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
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Linear Algebra
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Hirak
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86
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engineeringmathematics
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+3
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3
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5
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
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Linear Algebra
by
Arjun
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gate2019
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engineeringmathematics
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Previous gate
asked
Jan 31
in
Linear Algebra
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Hemanth_13
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6.6k
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77
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eigenvalue
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1
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7
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
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253
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115
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linearalgebra
matrix
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8
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
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11.4k
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gb2019mock1
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9
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
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Linear Algebra
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Shamim Ahmed
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2.3k
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95
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eigenvalue
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Zeal Test Series 2019: Linear Algebra  Eigen Value
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Dec 21, 2018
in
Linear Algebra
by
Prince Sindhiya
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5.4k
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93
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zeal
engineeringmathematics
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zeal2019
+5
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2
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11
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
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413k
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424
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tifr2019
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
12
Doubts
Eigenvalues of an Idempotentmatrix matrix A is 0 or 1 right or wrong?
asked
Dec 15, 2018
in
Linear Algebra
by
sahadeo2494
(
77
points)

46
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idempotentmatrix
eigenvalue
0
votes
1
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13
Ace Test Series: Linear Algebra  Eigen Values
asked
Dec 7, 2018
in
Linear Algebra
by
Sumit Kushwah
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13
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157
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engineeringmathematics
linearalgebra
eigenvalue
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0
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14
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
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6.7k
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93
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madeeasytestseries
engineeringmathematics
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15
#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
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459
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70
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engineeringmathematics
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eigenvalue
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1
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16
Eigen Vector
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Nov 7, 2018
in
Linear Algebra
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Na462
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228
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eigenvalue
linearalgebra
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17
Eigen Vector
asked
Oct 26, 2018
in
Linear Algebra
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Na462
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50
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eigenvalue
linearalgebra
engineeringmathematics
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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
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41.6k
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87
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engineeringmathematics
linearalgebra
eigenvalue
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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
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41.6k
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92
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engineeringmathematics
linearalgebra
eigenvalue
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Virtual Gate Test Series: Linear Algebra  Eigen Value
asked
Oct 16, 2018
in
Linear Algebra
by
Prince Sindhiya
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5.4k
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48
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engineeringmathematics
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virtualgatetestseries
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21
Virtual Gate Test Series: Linear Algebra  Eigen Values of a Unity Matrix
asked
Oct 15, 2018
in
Linear Algebra
by
Prince Sindhiya
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68
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engineeringmathematics
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matrices
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virtualgatetestseries
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1
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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
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2.3k
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119
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linearalgebra
eigenvalue
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23
Test series
asked
Oct 5, 2018
in
Linear Algebra
by
abhishekmehta4u
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34.2k
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85
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eigenvalue
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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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3k
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54
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1
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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
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34.5k
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255
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linearalgebra
eigenvalue
+4
votes
4
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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
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3.7k
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247
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matrices
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0
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1
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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
(
87
points)

128
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eigenvalue
usergate2015
usermod
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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
(
87
points)

356
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eigenvalue
0
votes
1
answer
29
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
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13
points)

182
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linearalgebra
matrices
engineeringmathematics
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matrixinversion
+1
vote
1
answer
30
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
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417
points)

29
views
linearalgebra
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