Question
Show that if m×n=1 then m=n=1 or m=n=-1
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Answer to a math question Show that if m×n=1 then m=n=1 or m=n=-1
Hermann
4.6126 Answers
Given that m \times n = 1 m = n = 1 m = n = -1
Let's assume thatm n
Ifm = 1 n = 1 m \times n = 1 \times 1 = 1
Ifm = -1 n = -1 (-1) \times (-1) = 1
Let's consider the case wherem n
Assume without loss of generality thatm = 1 n = -1 m \times n = 1 \times (-1) = -1 \neq 1
Therefore, the only solutions form \times n = 1 m = n = 1 m = n = -1
\textbf{Answer:}m = n = 1 m = n = -1
Let's assume that
If
If
Let's consider the case where
Assume without loss of generality that
Therefore, the only solutions for
\textbf{Answer:}
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