$IF space matrix space straight A equals open square brackets table row 0 cell space 0 end cell row 4 cell space 0 end cell end table close square brackets$ ,find A¹⁶

Solution

Here space straight A equals open square brackets table row 0 cell space 0 end cell row 4 cell space 0 end cell end table close square brackets therefore space straight A squared equals open square brackets table row 0 cell space space 0 end cell row 4 cell space space 0 end cell end table close square brackets space open square brackets table row 0 cell space space 0 end cell row 4 cell space space 0 end cell end table close square brackets equals space open square brackets table row 0 cell space 0 end cell row 0 cell space 0 end cell end table close square brackets equals 0 therefore space straight A to the power of 16 equals left parenthesis straight A squared right parenthesis to the power of 8 space equals left parenthesis 0 right parenthesis to the power of 8 space space equals 0

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