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For number 1 , use the following predicates: The domain is the set of all vectors. L ( x , y ) : The vectors
For number use the following predicates:
The domain is the set of all vectors.
: The vectors and are linearly independent.
: The determinant of the matrix made up of and equals zero.
: and are scalar multiples of each other.
Translate the following statements into logic:
a The determinant for all vectors and that are not linearly independent is equal to zero.
b If and are linearly independent, then they are not scalar multiples of each other.
c There is a set of vectors and that are linearly independent and are not scalar multiples of each other.
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