Linear Algebra : Homogeneous Cases

Study concepts, example questions & explanations for Linear Algebra

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Example Questions

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Example Question #1 : Homogeneous Cases

Solve the system by reducing its corresponding matrix.

Possible Answers:

   and     is a free variable. 

   and     is a free variable. 

   and     is a free variable. 

Correct answer:

   and     is a free variable. 

Explanation:

The corresponding matrix is

We add  times row one to row two.

This yields the solution

or

   and     is a free variable. 

 

 
 

Example Question #2 : Homogeneous Cases

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Example Question #3 : Homogeneous Cases

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Example Question #4 : Homogeneous Cases

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Example Question #5 : Homogeneous Cases

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Example Question #6 : Homogeneous Cases

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Example Question #7 : Homogeneous Cases

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Example Question #8 : Homogeneous Cases

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Example Question #9 : Homogeneous Cases

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Example Question #10 : Homogeneous Cases

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