Solving Subspace Spanning Homework in R^4 w/ 6,7,1,s

[ak123456]

Homework Statement

for each s belongs to R determine whether the vector y is in the subspace of R^4 spanned by the columns of A where
y=6
7
1
s


A= 1 3 2
-1 -2 1
3 8 1
4 9 3

(sorry for that , because i don't know how to use a BIG bracket)

Homework Equations

The Attempt at a Solution

Can i use the Gaussian process?

 

[Mark44]

The question you're trying to answer is whether y = c1*(column 1 of A) + c2*(column 2 of A) + c3*(column 3 of A) for some scalars c1, c2, and c3. Set up an augmented matrix with this information and use row reduction (I believ this is also called Gaussian elimination) to find out.

 

[ak123456]

The question you're trying to answer is whether y = c1*(column 1 of A) + c2*(column 2 of A) + c3*(column 3 of A) for some scalars c1, c2, and c3. Set up an augmented matrix with this information and use row reduction (I believ this is also called Gaussian elimination) to find out.

solved , thx