Determine for all values of the parameter p whether the statement d in <a,b,c> holds for the vectors a,b,c,d in RR^4: a=3,−1,2,1)^T , b=(15,8,8,7)^T , c=(12,6,7,p)^T , d=(6,8,−9,12)^T

pokvarilaap 2022-09-07 Answered
Determine for all values of the parameter p whether the statement d ∈< a , b , c > holds for the vectors a , b , c , d R 4 : a = 3 , 1 , 2 , 1 ) T , b = ( 15 , 8 , 8 , 7 ) T , c = ( 12 , 6 , 7 , p ) T , d = ( 6 , 8 , 9 , 12 ) T
d is a subspace of a,b,c ? How can we find all values of the parameter p?
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Answers (1)

Dakota Duarte
Answered 2022-09-08 Author has 7 answers
Hint: first verify that a 4 × 3 matrix whose columns are a,b,c is non-singular. Then define another matrix ,A, whose columns are a , b , c , d and find values of p for which | A | = 0
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