Mathematics
2026 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.
Question 58
Open questionMANAT2 marksNeeds review
Let
be the vector space of all polynomials of degree at most three with the real coefficients under usual polynomial addition and scalar multiplication. Let
be the linear transformation defined as
for all
, where
is the derivative of
. Then the nullity of
is equal to ________. (answer in integer)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 answerQuestion 59
Open questionMANAT2 marksNeeds review
The number of zeros of the complex polynomial
in the annulus
is equal to ________. (answer in integer)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 answerQuestion 60
Open questionMANAT2 marksNeeds review
Let
denote the space of all real valued Lebesgue square integrable functions on
. Let
be defined as follows:
Then the value of
is equal to ________. (answer in integer)Log in to check the answer
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