Teacher/User Name: DEMO Name:__________________________
Practice Problems
By Easy Worksheet
Period: ________ Date: ____________

 
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All rights reserved. Copyright 1998 Triple Threat Inc.

Solve:

1) Is b a linear combination of the columns of A?
Given A = 









-6 -6 








-9 -8 
12 -27 -26 
 and b =  









-9 








-9 
-35 

By Easy Worksheet

By Easy Worksheet

By Easy Worksheet

By Easy Worksheet

2) Is b a linear combination of the columns of A?
Given A = 









-10 








-2 -9 -7 
30 38 
 and b =  









-8 








3) Is b in the subset of ℜ3 spanned by the columns of A?
Given A = 









-2 -8 -7 








-7 -5 
-2 
 and b =  









-5 








-10 
-1 

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By Easy Worksheet

By Easy Worksheet

By Easy Worksheet

4) Can each vector in ℜ4 be written as a vector combination of the columns of A?
where A = 











-4 -3 










-8 
-9 -3 
23 -40 -7 -14 
 

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