Aerospace Engineering
GATE AE topic:linear-algebra PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 26. Imported answers require independent review unless marked reviewed.
Question 31
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The system of equations
has a non-trivial solution for
_____. (Answer in integer)Log in to check the answer
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Given the vectors
which of the following statement(s) is/are TRUE?
Your answerSelect all correct options. You can choose more than one.
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Let
,
, and
be the unit vectors in the x, y and z directions, respectively. If the vector
is rotated about positive
by
, one getsYour answerChoose one option.
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If
are three mutually perpendicular unit vectors, then
can take the value(s)Your answerSelect all correct options. You can choose more than one.
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The largest eigenvalue of the given matrix is ____.
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The ratio of the product of eigenvalues to the sum of the eigenvalues of the given matrix
is ______ (round off to nearest integer).Log in to check the answer
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Given
, the sum of squares of eigenvalues of
isYour answerChoose one option.
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In the equation
,
,
,
, where
is an orthogonal matrix, the sum of the unknowns,
______ (round off to one decimal place).Log in to check the answer
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Vector
is obtained by rotating
by
about
, where
,
and
are unit vectors along the
,
and
axes, respectively.
is given byYour answerChoose one option.
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The following system of equations
Your answerChoose one option.
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