Dark Mode

Recent questions tagged eigen-value

1 vote

1 answer

151

Test by Bikram | Mock GATE | Test 3 | Question: 54
Consider a matrix: $A =$ $\begin{bmatrix} 6 & 10\\ -2&-3 \end{bmatrix}$ The trace of $A^{10}$ is ______.

Bikram asked in Linear Algebra Feb 9, 2017

by Bikram

600 views

1 vote

2 answers

152

Test by Bikram | Mock GATE | Test 3 | Question: 15
$’X’$ and $’T’$ are two square matrices. $’X’$ has eigen values $3, 0, 2$. $’T’$ has eigen values $4$ and $1$. Which of the following statements is CORRECT? $X$ and $T$ both are invertible. $T$ is invertible but not $X$. $X$ is invertible but not $T$. None of them are invertible.

Bikram asked in GATE Feb 9, 2017

by Bikram

408 views

6 votes

6 answers

153

Gate ECE 2017 Eigen Value
For the given matrix A, one of the Eigenvalue is real $A=\begin{bmatrix} 1 &2 &3 &4 &5 \\ 5 &1 &2 &3 &4 \\ 4&5 &1 &2 &3 \\ 3&4 &5 &1 &2 \\ 2 &3 &4 &5 &1 \end{bmatrix}$ The real Eigen value is:

yg92 asked in Linear Algebra Feb 8, 2017

by yg92

5.3k views

3 votes

1 answer

154

GeeksQuiz No of Linearly Independent Vector for Eigen value
The number of linearly independent eigen vector for eigen value 1 $\begin{bmatrix} 1 & 3 & 2 \\ 0 & 4 & 2\\ 0 &-3 & -1 \end{bmatrix}$ ... linearly independent Vector should be equal to Matrix Rank = 1 ? The ans given is No Of Unknown - Rank ( 3-1 = 2)

yg92 asked in Linear Algebra Feb 5, 2017

by yg92

1.6k views

2 votes

1 answer

155

Find Matrix
A matrix has Eigen values 1 & 4 with Eigen vectors $\begin{pmatrix} 1\\ -1 \end{pmatrix}$ and $\begin{pmatrix} 2\\ 1 \end{pmatrix}$ respectively. The matrix M is ?

Krunal2016 asked in Linear Algebra Jan 22, 2017

1.3k views

1 vote

2 answers

156

Test by Bikram | Mock GATE | Test 1 | Question: 39
Consider the following matrix: $\left [ A \right ]=$ $\begin{bmatrix} 1.5&0 &1 \\ -0.5 & 0.5& -0.5\\ -0.5& 0 & 0 \end{bmatrix}$ The eigen values of the above matrix are: $-0.5, 0.5, 1.5$ $0.5, 0.5, 1$ $1.75, -1, 0.5$ $-0.5, 0.5, -1$

Bikram asked in GATE Jan 16, 2017

by Bikram

730 views

0 votes

1 answer

157

LINEAR ALGEBRA
IS ZERO THE ONLY EIGEN VALUE OF SINGULAR MATRICES??

sushmita asked in Mathematical Logic Jan 12, 2017

500 views

1 vote

1 answer

158

firki lama asked in Linear Algebra Jan 6, 2017

335 views

2 votes

0 answers

159

Eigen vector
Why zero vector can not be eigen vector?

Sonali Rangwani asked in Linear Algebra Jan 4, 2017

by Sonali Rangwani

596 views

3 votes

1 answer

160

TIFR CSE 2016 | Part A | Question: 6
Which of the following statements about the eigen values of $I_n$, the $n \times n$ identity matrix (over complex numbers), is true? The eigen values are $1, \omega, \omega^2, \dots , \omega^{n-1}$, where $\omega$ is a primitive $n$-th root of unity ... there are no other eigen values The eigen values are $1, 1/2, 1/3, \dots , 1/n$ The only eigen value is $1$

go_editor asked in Linear Algebra Dec 26, 2016

558 views

0 votes

1 answer

161

psb asked in Linear Algebra Dec 24, 2016

by psb

436 views

7 votes

1 answer

162

Matrix characteristic Equation:Eigen Values

KISHALAY DAS asked in Linear Algebra Dec 18, 2016

by KISHALAY DAS

1.4k views

1 vote

2 answers

163

MadeEasy Test Series: Linear Algebra - Eigen Value
can we use some identity to find value of ab+by+ya???without finding its eigen values and then multiplying..earlier i have read it somewhere but i forget it.

Nishant Arora asked in Linear Algebra Dec 15, 2016

by Nishant Arora

697 views

2 votes

1 answer

164

eigen vector
Let A be the matrix [3112][3112]. What is the maximum value of xT Ax where the maximum is taken over all x that are the unit eigenvectors of A? A) 3 B) (5 + √5)/2 C) 3 D) (5 - √5)/2 PLEASE EXPLAIN THE MEANING OF UNIT EIGENVECTORS OF A

indrajeet asked in Linear Algebra Aug 19, 2016

602 views

1 vote

0 answers

165

Matrices
What is Unit VEctor and What is Normalised Eigen Vector? Can anyone lighten up this two things like 1) definition 2)How to calculate 3) with one example.... help Needed :D

Aboveallplayer asked in Unknown Category Aug 13, 2016

by Aboveallplayer

738 views

1 vote

2 answers

166

GATE Overflow | Mathematics | Test 1 | Question: 3
$A$ is a $2\times 2$ matrix with eigenvalues $2$ and $-3$. The eigenvalues of the matrix $A^2$ are? 4,-9 2,-3 4,9 can not be determined from given data

Bikram asked in Linear Algebra Aug 8, 2016

by Bikram

410 views

1 vote

1 answer

167

Eigen values
To find out the Eigen values we put the |A-⋋I | =0 why we put the determinant =0 . Is there any specific reason For this

Anjali_aspirant asked in Linear Algebra Jul 10, 2016

by Anjali_aspirant

1.8k views

5 votes

3 answers

168

ISRO2007-09
Eigen vectors of $\begin{bmatrix} 1 && \cos \theta \\ \cos \theta && 1 \end{bmatrix}$ are $\begin{bmatrix} a^n && 1 \\ 0 && a^n \end{bmatrix}$ $\begin{bmatrix} a^n && n \\ 0 && a^n \end{bmatrix}$ ... $\begin{bmatrix} a^n && na^{n-1} \\ -n && a^n \end{bmatrix}$

go_editor asked in Linear Algebra Jun 10, 2016

4.0k views

1 vote

2 answers

169

eigen vectors
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 $\lambda_1+ \lambda_2+\lambda_3=\sqrt{2} +1$ ... $\{ - \frac{\pi}{4}, \frac{\pi}{4} \}$ $\{ - \frac{\pi}{3}, \frac{\pi}{3} \}$

kvkumar asked in Linear Algebra Jun 2, 2016

687 views

0 votes

0 answers

170

pC asked in Linear Algebra May 3, 2016

by pC

293 views

0 votes

1 answer

171

pC asked in Linear Algebra May 3, 2016

by pC

864 views

0 votes

0 answers

172

Eigen values and characteristic equation
I have learned a shortcut for finding eigen values and characteristic equation. It is as follows. $\lambda ^{_{3}}- \alpha \lambda ^{2}+ \beta \lambda - \gamma =0$ where $ \alpha =$ trace of 3*3 matrix $ \beta =$ sum of ... problem I'm stuck, Could any one help me find why I'm stuck . I was getting answer using this trick for almost all problems

pC asked in Linear Algebra May 1, 2016

by pC

3.1k views

10 votes

1 answer

173

ISRO-2013-33
What is the matrix transformation which takes the independent vectors $\begin{pmatrix} 1& \\ 2& \end{pmatrix}$ and $\begin{pmatrix} 2& \\ 5& \end{pmatrix}$ and transforms them to $\begin{pmatrix} 1& \\ 1& \end{pmatrix}$ ... $\begin{pmatrix} -1&0 \\ 1& 1 \end{pmatrix}$ $\begin{pmatrix} -1&1 \\ 1& 0 \end{pmatrix}$

makhdoom ghaya asked in Linear Algebra Apr 27, 2016

by makhdoom ghaya

3.8k views

49 votes

10 answers

174

GATE CSE 2016 Set 1 | Question: 05
Two eigenvalues of a $3 \times 3$ real matrix $P$ are $(2+\sqrt {-1})$ and $3$. The determinant of $P$ is _______

Sandeep Singh asked in Linear Algebra Feb 12, 2016

by Sandeep Singh

14.5k views

37 votes

2 answers

175

GATE CSE 2016 Set 2 | Question: 06
Suppose that the eigenvalues of matrix $A$ are $1, 2, 4$. The determinant of $\left(A^{-1}\right)^{T}$ is _________.

Akash Kanase asked in Linear Algebra Feb 12, 2016

by Akash Kanase

11.5k views

0 votes

1 answer

176

Orthogonal set of vectors in R
What is R in this question? How to solve this? Q).Let $A$ be a real $n*n$ matrix ,then which of the following statements are true? I). $A$ is orthogonal iff the row vectors form an orthgonal set of vectors in $R^4$. II). $A$ is orthogonal iff the columns ... of vectors in $R^4$. (A) Only I (B) Only II (C) Both I and II (D) None of these The correct answer is C.

Purple asked in Linear Algebra Jan 31, 2016

by Purple

860 views

0 votes

0 answers

177

Eigen vectors of linear equation defined by cross product
How to solve this question?

Purple asked in Linear Algebra Jan 31, 2016

by Purple

529 views

1 vote

1 answer

178

Ace Test Series: Linear Algebra - Eigen Value
Answer should be A. But they gave D. Their Explanation: Corresponding to each distinct eigen value, we have atleast one independent eigen vector.

Tushar Shinde asked in Linear Algebra Jan 30, 2016

by Tushar Shinde

1.7k views

5 votes

1 answer

179

eigen values
The linear operation $L(x)$ is defined by the cross product $L(x)= b \times x$, where $b=\left[0 1 0\right]^{T}$ and $x=\left[x_{1} x_{2} x_{3}\right]^{T}$ are three dimensional vectors. The $3 \times 3$ matrix $M$ ... $M$ are $0, +1, -1$ $1, -1, 1$ $i, -i, 1$ $i, -i, 0$

sourav. asked in Linear Algebra Jan 25, 2016

2.1k views

7 votes

2 answers

180

ME GATE 2012 What is Normalised Eigen Vector ?
For the Matrix $\begin{bmatrix} 5 & 3\\ 1& 3 \end{bmatrix}$ One of the Normalised Eigen Vector is given as__________ Answer $\begin{bmatrix} \frac{1}{\sqrt{2}} \\ \frac{-1}{\sqrt{2}} \end{bmatrix}$ What is Normalised Eigen Vector ? How to Find the Solution ?

pC asked in Linear Algebra Jan 7, 2016

by pC

5.8k views

Page:

« prev
1
2
3
4
5
6
7
next »

Recent questions tagged eigen-value