GATE MA · 2017 · MA
Question 27: Linear Algebra
Give it a try, then reveal the answer to check your work.
Question 27
MAMCQ2 marksNeeds review
Given two
matrices
and
with entries in
, consider the following statements:
(P): If
and
have the same minimal polynomial, then
is similar to
.
(Q): If
has
distinct eigenvalues, then there exists
such that
are linearly independent.
Which of the above statements hold TRUE?Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerEXPLORE & PRACTISE
Paper and topic context
See where this question comes from and choose what to practise next.
2017MA
GATE MA 2017 · Paper 1
Mathematics · Original paper archive
- Section
- Mathematics
- Question type
- Multiple choice (MCQ)
- Marks
- 2 marks
Practise related topics
Explore more previous year questions using this question’s imported topic tags.
mathematics
GATE MA previous year questions
mathematical sciences
GATE MA previous year questions
statistics
GATE MA previous year questions
linear algebra
GATE MA previous year questions
eigenvalues
GATE MA previous year questions
minimal polynomial
GATE MA previous year questions
Comments
Ask a question, share your approach, or help someone understand.
Log in to view the discussion
You’re not logged in. Log in or create an account to see discussions and add comments.