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