#1 (a) Express, if possible,b= (7,8,9) as a linear combination of u1= (2,1,4),u2= (1,−1,3),u3= (3,2,5) (b)...

#1 (a) Express, if possible,b= (7,8,9) as a linear combination of u1= (2,1,4),u2= (1,−1,3),u3= (3,2,5)

(b) What is Span{u1,u2,u3}?

(c) Is the set{u1,u2,u3}linearly independent?

#2 Considerv1= (1,2,1,1),v2= (1,1,3,1) and v3= (3,5,5,3). Find a homogeneoussystem the solution of which is Span{v1,v2,v3}. (Hint: Consider x= (x1, x2, x3, x4) where x=sv1+tv2+rv3 and look for conditions on x1, . . . , x4 where this system is consistent)

Expert Solution

Colby Messinger answered 2 years ago

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