For which numbers α and β does the matrix ⎝⎛​100​200​5α0​02β​522​⎠⎞​ have rank 2?

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answerhappygod
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For which numbers α and β does the matrix ⎝⎛​100​200​5α0​02β​522​⎠⎞​ have rank 2?

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For which numbers α and β does the matrix ⎝⎛​100​200​5α0​02β​522​⎠⎞​ have rank 2?
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