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Let A= [[5,5alpha,alpha],[0,alpha,5alph...

Let ` A= [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]]` .` If A^2 = 25,` then `alpha` equals to:

Text Solution

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`|A|=(25alpha+0+0)-[0+0+0]=25alpha`
`|A^2|=25`
`25alpha*25alpha=25`
`625alpha^2=25`
`alpha^2=1/25`
`alpha=pm1/5`.
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