Mathematics
2024 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 28–30 of 65. Imported answers require review unless explicitly marked reviewed.
Question 28
Open questionMANAT1 markNeeds review
Let
, where
. Let
be the inverse of
in a neighborhood of
. Then the determinant of the Jacobian matrix of
at
is equal to ______ (round off to TWO decimal places)Log in to check the answer
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Open questionMANAT1 markNeeds review
Let
be the field with exactly 3 elements. The number of elements in
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 30
Open questionMANAT1 markNeeds review
Given a real subspace
of
, let
denote its orthogonal complement with respect to the standard inner product on
. Let
and
be real subspaces of
. The dimension of
over
is equal to ______ (answer in integer)Log in to check the answer
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