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[10 points] Let v1, v2 and v3 be three linearly independent vectors in R 3 . (a) Find the rank of the matrix A = (v1 − v2) (v2 − v3) (v3 − v1) . (b) Find the rank of the matrix B = (v1 + v2) (v2 + v3) (v3 + v1) .

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Answer:

The solution and complete explanation for the above question and mentioned conditions is given below in the attached document.I hope my explanation will help you in understanding this particular question.

Explanation:

[10 points] Let v1, v2 and v3 be three linearly independent vectors in R 3 . (a) Find-example-1
[10 points] Let v1, v2 and v3 be three linearly independent vectors in R 3 . (a) Find-example-2
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