Chapter 2 Question 12 / Help
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matthias-herrmann commented
For my understanding:
The Intersection of U1 and U2 has only one independent column. Let's call the combination of the matrices V.
Therefore av1+...av6 can be reduced by a singel linear combination a*v?
I understand that because dim(U1)=2 and dim(U2) we can set 0=a1v1+a2v2-a4v4-a5v5
Then the solution says v1,v2,v4 are linearly independent and we can set a5 to any number e.g. 9.
How does the augmented matrix look like to solve for v?
| a1
? | a2
| a4
| 9