Mathematics
2018 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2018 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.
Question 39
Open questionMAMCQ2 marksNeeds review
Consider the Linear Programming Problem (LP):
Maximize
Subject to
,
,
,
,where
is a constant. If
is the only optimal solution, thenYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 40
Open questionMANAT2 marksNeeds review
Let
be the vector space of all
real matrices over the field
. Define the linear transformation
by
, where
denotes the transpose of the matrix
. Then the trace of
equals _________.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 41
Open questionMANAT2 marksNeeds review
Consider
with the usual inner product. If
is the distance from
to the subspace
of
, then
_________.Log in to check the answer
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