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Mathematics

GATE MA concept:eigenvectors PYQs

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GATE MA syllabus

Questions 1–1 of 1. Imported answers require independent review unless marked reviewed.

Topic practice 1 questionsPage 1 of 1

Question 36

Open question
MAMCQ2 marksNeeds review
Let

be a

real symmetric matrix with eigenvalues

,

and

with the respective eigenvectors

,

and

.
Consider the following statements:
I.

.
II. The vector

satisfies

.
III. For any

,

has a solution.
IV. The trace of the matrix

is 8.
(

denotes the transpose of the vector

)
Which of the above statements are TRUE?
Your answerChoose one option.

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