Consider the vectors,\

v_(1)=([1],[7],[-4]),v_(2)=([-4],[-1],[4]),v_(3)=([r],[17],[-20])

\ a. For which value(s) of

r

are the vectors linearly independent?\ b. For which value(s) of

r

is

v_(3)inSpan{v_(1),v_(2)}

?\ If there is more than one value, use interval notation (e.g.,

x

or

x>2

is written\

(-\\\\infty ,-1]\\\\cup (2,+\\\\infty )

Consider the vectors, v1=174,v2=414,v3=r1720 a. For which value(s) of r are the vectors linearly independent? b. For which value(s) of r is v3Span{v1,v2} ? If there is more than one value, use interval notation (e.g., x1 or x>2 is written (,1](2,+))