Question Solved1 Answer 9. Show that the vector a = (5,9,14) can be written as a linear combination of the vectors b and 2, (4 marks) where b = (-2, 3, 1) and = (3, 1, 4). 9. Show that the vector a = (5,9,14) can be written as a linear combination of the vectors b and 2, (4 marks) where b = (-2, 3, 1) and = (3, 1, 4).

S6F0WU The Asker · Calculus

Transcribed Image Text: 9. Show that the vector a = (5,9,14) can be written as a linear combination of the vectors b and 2, (4 marks) where b = (-2, 3, 1) and = (3, 1, 4).
More
Transcribed Image Text: 9. Show that the vector a = (5,9,14) can be written as a linear combination of the vectors b and 2, (4 marks) where b = (-2, 3, 1) and = (3, 1, 4).
See Answer
Add Answer +20 Points
Community Answer
TU87M9 The First Answerer
See all the answers with 1 Unlock
Get 4 Free Unlocks by registration

Show that vector vec(a)=(5,9,14) can be written as linear Combination of vector bे 2 vec(c){:[=>" let " vec(a)=(x","y","z)],[ vec(b)=(-2","3","1)],[ vec(c)=(3","1","4)]:}Let a^(-1) is linear Combination of b^(-1)& vec(c)(x,y,z)=alpha(-2,3,1)+beta(3,1,4)Solving{:[(x","y","z)=(-2alpha+3beta","2alpha+beta","alpha+4beta)],[=>-2alpha+3beta=x-oo],[3alpha+beta=y-2],[alpha+4beta=z]:}sobigg (1) & (8){:[=>quad-2alpha+3beta=x],[+(2alpha+8beta=2z)/(11 beta=x+2z)],[beta=(x+2z)/(11)]:}Similarly solvin ... See the full answer