5. Do the vectors {(1, -2, 1), (2,-3, 1), (5, -8, 1), (-1, 1,2)} form a basis for R'? Provide a detailed explanation, showing all details of the calculation.

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5. Do the vectors {(1, -2, 1), (2, -3, 1), (5,-8, 1), (-1, 1,2)} form a basis for R'? Provide a
detailed explanation, showing all details of the calculation.
Transcribed Image Text:5. Do the vectors {(1, -2, 1), (2, -3, 1), (5,-8, 1), (-1, 1,2)} form a basis for R'? Provide a detailed explanation, showing all details of the calculation.
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