Register
Dark Mode

Memory Based GATE DA 2024 | Question: 6

in Linear Algebra recategorized by
250 views
0 votes
0 votes
 Consider the matrix
\[
\begin{bmatrix}
2 & -1 \\
3 & 1
\end{bmatrix}
\]
What is the nature of the eigenvalues of the given matrix?
  1. Both eigenvalues are positive.
  2. One eigenvalue is negative.
  3. Eigenvalues are complex conjugate pairs.
  4. None of the above.
in Linear Algebra recategorized by
by
250 views

2 Answers

1 vote
1 vote

Ans :- C 

(2 - x)(1 - x) + 3 = 0

Characteristic equation of given matrix : x2 - 3x + 5 = 0 

Therefore, the roots of the quadratic equation are :  ( 3 + 11i ) / 2  & ( 3 - 11i ) / 2 

edited by
by
0 votes
0 votes

Answer : C 

by
← PreviousNext →
← Previous in categoryNext in category →

Related questions

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

Subjects

64.3k questions

77.9k answers

244k comments

80.0k users

Developed by Chun
Link Copied!