Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
linear algebra
suneetha
asked
in
Linear Algebra
Jul 2, 2018
recategorized
Sep 30, 2018
by
Mk Utkarsh
9,850
views
0
votes
0
votes
Let A be the 2 × 2 matrix with elements a11 = a12 = a21 = +1 and a22 = −1. Then the eigenvalues of the matrix A19 are
(a) 1024 and−1024 (b) 1024√2 and −1024√2
(c) 4√2 and−4√2 (d) 512√2 and−512√2
linear-algebra
suneetha
asked
in
Linear Algebra
Jul 2, 2018
recategorized
Sep 30, 2018
by
Mk Utkarsh
by
suneetha
9.9k
views
answer
comment
Follow
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
3
Answers
1
vote
1
vote
Best answer
Option d is right.
abhishekmehta4u
answered
Jul 2, 2018
selected
Sep 30, 2018
by
Mk Utkarsh
by
abhishekmehta4u
comment
Follow
share this
0 Comments
Please
log in
or
register
to add a comment.
0
votes
0
votes
eigen values of matrix 1 1
1 -1
are √2 and -√2
now characterstic equation of A^19 is λ^19 ....put λ=+√2 and - √2 you will get (d) as the answer
Navneet Kalra
answered
Jul 2, 2018
edited
Jul 2, 2018
by
Navneet Kalra
by
Navneet Kalra
comment
Follow
share this
2 Comments
by
suneetha
commented
Jul 2, 2018
reply
Follow
share this
but according to the given prb the matrix is like 1 1
1 -1
0
0
by
Navneet Kalra
commented
Jul 2, 2018
reply
Follow
share this
i have corrected that
please see
0
0
Please
log in
or
register
to add a comment.
0
votes
0
votes
Answer is D)
Prince Sindhiya
answered
Jul 3, 2018
by
Prince Sindhiya
comment
Follow
share this
0 Comments
Please
log in
or
register
to add a comment.
← Previous
Next →
← Previous in category
Next in category →
Related questions
0
votes
0
votes
0
answers
1
rajveer43
asked
in
Linear Algebra
Jan 10
61
views
GATE 2019 | MATHS | LINEAR ALGEBRA
Let $ \mathbf{M} $ be a $3 \times 3$ real symmetric matrix with eigenvalues $0, 2$ and $a$ with the respective eigenvectors $\mathbf{u} = \begin{bmatrix} 4 \\ b \\ c \end{bmatrix}$, $\mathbf{v} = \begin{bmatrix} -1 \\ 2 \\ 0 \end{bmatrix}$, and ... of the above statements are TRUE? (A) I, II and III only (B) I and II only (C) II and IV only (D) III and IV only
rajveer43
asked
in
Linear Algebra
Jan 10
by
rajveer43
61
views
linear-algebra
0
votes
0
votes
1
answer
2
rajveer43
asked
in
Linear Algebra
Jan 10
114
views
GATE 2022 | MATHS | LINEAR ALGEBRA
Suppose that the characteristic equation of \( M \in \mathbb{C}^{3 \times 3} \) is \[ \lambda^3 + \alpha \lambda^2 + \beta \lambda - 1 = 0, \] where \( \alpha, \beta \in \mathbb{C} \) with \( \alpha + \beta \neq 0 \). Which of the following statements is TRUE? (A) \( M(I ... 1} (M^{-1} + \beta I) = M - \alpha I \) (D)\( M^{-1} (M^{-1} - \beta I) = M + \alpha I \)
rajveer43
asked
in
Linear Algebra
Jan 10
by
rajveer43
114
views
linear-algebra
0
votes
0
votes
0
answers
3
rajveer43
asked
in
Linear Algebra
Jan 10
97
views
GATE DA - 2024 | Linear Algebra
Let $𝐴$ be an $𝑛 𝑛$ real matrix. Consider the following statements. $(I)$ If $𝐴$ is symmetric, then there exists $𝑐 ≥ 0$ such that $𝐴 + 𝑐𝐼_𝑛$ is symmetric and positive definite, where $𝐼_𝑛$ is the $𝑛 𝑛$ identity matrix $(II)$ If $𝐴$ is symmetric and ... above statements is/are true? (A) Only (I) (B) Only (II) (C) Both (I) and (II) (D) Neither (I) nor (II)
rajveer43
asked
in
Linear Algebra
Jan 10
by
rajveer43
97
views
linear-algebra
0
votes
0
votes
0
answers
4
Debargha Mitra Roy
asked
in
Linear Algebra
Jan 8
110
views
Linear Algebra, Eigen Vales & Eigen Vectors
$If \ A = \begin{pmatrix} 1&1 \\ 1&0 \end{pmatrix},\ \alpha M_1+\beta M_2+\gamma M_3,\ where \ M_1 = L_{2x2},\ M_2 = \begin{pmatrix} 0&1 \\ 1&1 \end{pmatrix}\ and \ M_3 = \begin{pmatrix} 1&1 \\ 1&1 \end{pmatrix} \ then \ -$ ... $\alpha = 1,\ \beta = -1,\ \gamma = 2$ D. $\alpha = -1,\ \beta = 1,\ \gamma = 2$
Debargha Mitra Roy
asked
in
Linear Algebra
Jan 8
by
Debargha Mitra Roy
110
views
engineering-mathematics
linear-algebra
eigen-value
matrix
Subscribe to GATE CSE 2024 Test Series
Subscribe to GO Classes for GATE CSE 2024
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
Post GATE 2024 Guidance [Counseling tips and resources]
GATE CSE 2024 Result Responses
[Project Contest] Pytorch backend support for MLCommons Cpp Inference implementation
Participating in MLCommons Inference v4.0 submission (deadline is February 23 12pm IST)
IIITH PGEE 2024 Test Series by GO Classes
Subjects
All categories
General Aptitude
(3.5k)
Engineering Mathematics
(10.4k)
Discrete Mathematics
(7.1k)
Probability
(1.4k)
Linear Algebra
(1.1k)
Calculus
(792)
Optimization
(0)
Digital Logic
(3.6k)
Programming and DS
(6.2k)
Algorithms
(4.8k)
Theory of Computation
(6.9k)
Compiler Design
(2.5k)
Operating System
(5.2k)
Databases
(4.8k)
CO and Architecture
(4.0k)
Computer Networks
(4.9k)
Artificial Intelligence
(79)
Machine Learning
(48)
Data Mining and Warehousing
(25)
Non GATE
(1.4k)
Others
(2.7k)
Admissions
(684)
Exam Queries
(1.6k)
Tier 1 Placement Questions
(17)
Job Queries
(80)
Projects
(11)
Unknown Category
(870)
64.3k
questions
77.9k
answers
244k
comments
80.0k
users
Recent Blog Comments
category ?
Hi @Arjun sir, I have obtained a score of 591 in ...
download here
Can you please tell about IIT-H mtech CSE self...
Please add your admission queries here:...
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy