GATE 2019
September 25, 2024Switching
September 25, 2024GATE 2022
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Question 20
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where tr() represents the trace of a matrix. Which one of the following holds?
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Statement 1 is correct and Statement 2 is wrong.
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Statement 1 is wrong and Statement 2 is correct.
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Both Statement 1 and Statement 2 are correct.
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Both Statement 1 and Statement 2 are wrong.
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Question 20 Explanation:
the matrices AB and BA have the same characteristic polynomial, so in particular the same trace, and the same determinant.
(In exam point of view, you can just consider small example and conclude).
So trace of AB = trace of BA
As well
Trace of CD = trace of DC
(In exam point of view, you can just consider small example and conclude).
So trace of AB = trace of BA
As well
Trace of CD = trace of DC
Correct Answer: C
Question 20 Explanation:
the matrices AB and BA have the same characteristic polynomial, so in particular the same trace, and the same determinant.
(In exam point of view, you can just consider small example and conclude).
So trace of AB = trace of BA
As well
Trace of CD = trace of DC
(In exam point of view, you can just consider small example and conclude).
So trace of AB = trace of BA
As well
Trace of CD = trace of DC