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Write the Following Four Restrictions in the Form Rβ=r,\boldsymbol { R } \boldsymbol { \beta } = \boldsymbol { r } ,

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Write the following four restrictions in the form Rβ=r,\boldsymbol { R } \boldsymbol { \beta } = \boldsymbol { r } , where the hypotheses are to be tested simultaneously.
β3=2β5,β1+β2=1,β4=0,β2=β6.\begin{array} { l } \beta _ { 3 } = 2 \beta _ { 5 } , \\\beta _ { 1 } + \beta _ { 2 } = 1 , \\\beta _ { 4 } = 0 , \\\beta _ { 2 } = - \beta _ { 6 } .\end{array}
Can you write the following restriction β2=β3β1\beta _ { 2 } = - \frac { \beta _ { 3 } } { \beta _ { 1 } } in the same format? Why not?

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