Q43
Let x and y be two vectors in a 3 dimensional space and denote their dot product. Then the determinant det \[ [ array*20c & \\ & array ].\]
Let x and y be two vectors in a 3 dimensional space and <x, y> denote their dot product. Then the determinant det \left[ {\begin{array}{*{20}{c}}
{ < {\text{x}},{\text{x}} > }&{ < {\text{x}},{\text{y}} > } \\
{ < {\text{y}},{\text{x}} > }&{ < {\text{y}},{\text{y}} > }
\end{array}} \right].
A.
is zero when x and y are linearly independent
B.
is positive when x and yare linearly independent
AnswerC.
is non-zero for all non-zero x and y
D.
is zero only when either x or y is zero
Answer: Option B
Solution
Answer: Option B
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