Question-142204

Question Number 142204 by mnjuly1970 last updated on 27/May/21

Answered by MJS_new last updated on 28/May/21

what are you waiting for ?

A^{2} = [\begin{matrix} 7 & 2 m - 5 & 5 \\ 2 & m^{2} - 1 & m + 2 \\ 2 & 2 - m & 9 \end{matrix}]

A^{4} = [\begin{matrix} 4 m + 49 & 2 m^{3} - 5 m^{2} + 7 m - 20 & 2 m^{2} - m + 70 \\ 2 m^{3} + 2 m + 16 & m^{4} - 3 m^{2} + 4 m - 5 & m^{3} + 2 m^{2} + 8 m + 26 \\ 36 - 2 m & - m^{3} + 2 m^{2} - 4 m + 6 & 95 - m^{2} \end{matrix}]

m^{3} + 2 m^{2} + 8 m + 26 = 24

\Rightarrow

m = - \frac{2 + \sqrt[3]{- 37 + 3 \sqrt{1041}} - \sqrt[3]{37 + 3 \sqrt{1041}}}{3} \approx - . 265257381969

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