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Solve (use matrix method): frac{2]{x}-fr...

Solve (use matrix method): `frac{2]{x}-frac{3]{y}+frac{3]{z}=10`, `frac{1]{x}+frac{1]{y}+frac{1]{z}=10`, `frac{3]{x}-frac{1]{y}+frac{2]{z}=13`.

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Solve the system of equations. frac{4}{x}-frac{6}{y}+frac{5}{z}=1 , frac{2}{x}+frac{3}{y}+frac{10}{z}=4 and frac{6}{x}+frac{9}{y}-frac{20}{z}=2

Solve the system of equations. frac{2}{x}+frac{3}{y}+frac{10}{z}=4 , frac{4}{x}-frac{6}{y}+frac{5}{z}=1 and frac{6}{x}+frac{9}{y}-frac{20}{z}=2

Solve the system of equations. frac{6}{x}+frac{9}{y}-frac{20}{z}=2 , frac{4}{x}-frac{6}{y}+frac{5}{z}=1 and frac{2}{x}+frac{3}{y}+frac{10}{z}=4

2tan^-1 frac{1}{3} + tan^-1 frac{1}{7}= frac {pi}{4}

tan^-1 frac{1}{2} + tan^-1 frac{2}{11}= frac{1}{2}sin^-1 frac{24}{25}

tan^-1 frac{2}{11} + tan^-1 frac{7}{24}= frac{1}{2}cos^-1 frac{3}{5}

tan^-1 frac{1}{2} + tan^-1 frac {2}{11} = tan^-1 frac{3}{4}

tan^-1 frac{1}{2} + tan^-1 frac {1}{7} = tan^-1 frac{9}{13}

tan^-1 frac{1}{5} + tan^-1 frac{1}{7} + tan^-1 frac {1}{3} + tan^-1 frac{1}{8}= frac{pi}{4}

Show that : tan^-1 frac{1}{2} + tan^-1 frac{1}{4}=frac{1}{2} cos^-1 frac{13}{85}