LINEAR ALGEBRA! NEED THE COMPLETE AND CLEAR SOLUTION thanks LINEAR ALGEBRA! NEED THE COMPLETE AND CLEAR SOLUTION thanks e. Find (a) the basis vectors for and (b) the dimension of the subspace W of R4. (10Pts.) W = {(a,b,c,d), where c = a and b = d = -a} Solution let (a,b,c,d) in W (a,b,c,d)=(a,-a,a,-a)=a(1,-1,1,-1) thus any vector in W can be write as a linear combination of vector (1,-1,1,-1). Therefore the dimension is 1. basis is {(1,-1,1,-1)}.

1. LINEAR ALGEBRA!
NEED THE COMPLETE AND CLEAR SOLUTION thanks LINEAR ALGEBRA! NEED
THE COMPLETE AND CLEAR SOLUTION thanks e. Find (a) the basis vectors for and (b) the
dimension of the subspace W of R4. (10Pts.) W = {(a,b,c,d), where c = a and b = d = -a}
Solution
let (a,b,c,d) in W
(a,b,c,d)=(a,-a,a,-a)=a(1,-1,1,-1)
thus any vector in W can be write as a linear combination of vector (1,-1,1,-1). Therefore the
dimension is 1.
basis is {(1,-1,1,-1)}