GATE XE 2023 Paper 1 — page 6

Questions 16–18 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 6 of 59

If the polynomial

interpolates the points

, and

, then the value of

is __________ (round off to 2 decimal places).

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The value of

for which the vector field

is a conservative vector field is ______________ (in integer).

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Let

The eigenvalues of both

and

are 1, 1, and 2. Which one of the following statements is TRUE?

Your answerChoose one option.

Both

and

are diagonalizable

is diagonalizable but

is NOT diagonalizable

is NOT diagonalizable but

is diagonalizable

Both

and

are NOT diagonalizable

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2023 · Paper 1