GATE AE 2009: Non-Trivial Solution for Homogeneous System [A]x=0

Aerospace Engineering > GATE 2009 > Linear Algebra

A non-trivial solution to the (n×n) system of equations
[A]{x}={0}, where {0} is the null vector

can never be found

may be found only if [A] is not singular

may be found only if [A] is an orthogonal matrix

may be found only if [A] has at least one eigenvalue equal to zero

Correct : d

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