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

 
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Solve:

1) Write the solution to these homogeneous equations in parametric form:
-8x1 − 2x2  − 26x3  + 4x4  − 10x5 = 0
-4x1 + 4x2  − 8x3  + 12x4  + 4x5 = 0
8x1 + 2x2  + 26x3  − 4x4  − 10x5 = 0

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By Easy Worksheet

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By Easy Worksheet

2) Write a parametric equation of a line going through b1 that is parallel to b2
b1 =  


















-1 
b2 =  









-10 








-4 
-9 
3) Write the solution to these homogeneous equations in parametric form:
8x1 − 2x2  − 18x3 = 0
6x1 − 5x2  − 3x3 = 0

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By Easy Worksheet

By Easy Worksheet

By Easy Worksheet

4) Is the solution to these homogeneous equations a line, a plane or a point?
3x1 + 9x2  + 2x3 = 0
7x1 + 21x2  + 5x3 = 0
-2x1 − 6x2  − 2x3 = 0

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