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Topic: Math - Linear Algebra Focus: Matrices, Linear Independence and Linear Dependence Consider four vectors v1 =...

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Advance Math

Topic: Math - Linear Algebra

Focus: Matrices, Linear Independence and Linear Dependence

Consider four vectors v1 = [1,1,1,1], v2 = [-1,0,1,2], v3 =[a,1,0,b], and v4 = [3,2,a+b,0], where a and b are parameters. Findall conditions on the values of a and b (if any) for which:

1. The number of linearly independent vectors in this collectionis 1.

2. The number of linearly independent vectors in this collectionis 2.

3. The number of linearly independent vectors in this collectionis 3.

4. The number of linearly independent vectors in this collectionis 4.

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